Hello Peers, Today, we’ll give you the Free answers✅✅✅ to all of the week’s assessments and quizzes for the Modern Robotics, Course 2: Robot Kinematics course that Coursera just started. This is a certification course that any student who wants to take it can take.
If you can’t find this course for free, you can apply for financial aid to get it for free. Click on the link below to learn more about the Coursera process of financial assistance and to find answers.
Check out this article – “How to Apply for Financial Ads?”
- Modern Robotics, Course 2: Robot Kinematics Quiz Answers
- Week 01: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
- Quiz 01: Lecture Comprehension, Product of Exponentials Formula in the Space Frame (Chapter 4 through 4.1.2)
- Quiz 02: Lecture Comprehension, Product of Exponentials Formula in the End-Effector Frame (Chapter 4.1.3)
- Quiz 03: Lecture Comprehension, Forward Kinematics Example
- Quiz 04: Chapter 4, Forward Kinematics
- Week 02: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
- Quiz 02: Lecture Comprehension, Velocity Kinematics and Statics (Chapter 5 Introduction)
- Quiz 02: Lecture Comprehension, Statics of Open Chains (Chapter 5.2)
- Quiz 03: Lecture Comprehension, Singularities (Chapter 5.3)
- Quiz 04: Lecture Comprehension, Manipulability (Chapter 5.4)
- Quiz 05: Chapter 5, Velocity Kinematics and Statics
- Week 03: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
- Quiz 01: Lecture Comprehension, Inverse Kinematics of Open Chains (Chapter 6 Introduction)
- Quiz 02: Lecture Comprehension, Numerical Inverse Kinematics (Chapter 6.2, Part 1 of 2)
- Quiz 03: Lecture Comprehension, Numerical Inverse Kinematics (Chapter 6.2, Part 2 of 2)
- Quiz 04: Chapter 6, Inverse Kinematics
- week 04: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
- About The Coursera
- Week 01: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
- About Modern Robotics, Course 2: Robot Kinematics Course
- Conclusion
Use “Ctrl+F” To Find Any Questions Answer. & For Mobile User, You Just Need To Click On Three dots In Your Browser & You Will Get A “Find” Option There. Use These Option to Get Any Random Questions Answer.
Course Apply Link – Modern Robotics, Course 2: Robot Kinematics
Here, you will find Modern Robotics, Course 2: Robot Kinematics Exam Answers in Bold Color below.
These answers are updated recently and are 100% correct✅ answers of all week, assessment, and final exam answers of Modern Robotics, Course 2: Robot Kinematics from Coursera Free Certification Course.
Modern Robotics, Course 2: Robot Kinematics Quiz Answers
Week 01: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
Quiz 01: Lecture Comprehension, Product of Exponentials Formula in the Space Frame (Chapter 4 through 4.1.2)
Q1. True or false? The PoE formula in the space frame only correctly calculates the end-effector configuration if you first put the robot at its zero configuration, then move joint nn to \theta_nθn, then move joint n-1n−1 to \theta_{n-1}θn−1, etc., until you move joint 1 to \theta_1θ1.
- True.
- False.
Q2. Consider the screw axis \mathcal{S}_iSi used in the PoE formula. Which of the following is true?
- \mathcal{S}_iSi represents the screw axis of joint ii, expressed in the end-effector frame {b}, when the robot is at its zero configuration.
- \mathcal{S}_iSi represents the screw axis of joint ii, expressed in the end-effector frame {b}, when the robot is at an arbitrary configuration \thetaθ.
- \mathcal{S}_iSi represents the screw axis of joint ii, expressed in the space frame {s}, when the robot is at its zero configuration.
- \mathcal{S}_iSi represents the screw axis of joint ii, expressed in the space frame {s}, when the robot is at an arbitrary configuration \thetaθ.
Q3. When the robot is at an arbitrary configuration \thetaθ, does the screw axis corresponding to motion along joint ii, represented in {s}, depend on \theta_{i-1}θi−1?
- No.
- Yes.
Quiz 02: Lecture Comprehension, Product of Exponentials Formula in the End-Effector Frame (Chapter 4.1.3)
Q1. When the robot is at an arbitrary configuration \thetaθ, does the screw axis corresponding to motion along joint ii, represented in {b}, depend on \theta_{i-1}θi−1?
- No.
- Yes.
Q2. When the robot arm is at its home (zero) configuration, the axis of joint 3, a revolute joint, passes through the point (3,0,0)(3,0,0) in the {b} frame. The axis of rotation is aligned with the \hat{{\rm z}}_{{\textrm b}}z^b-axis of the {b} frame. What is the screw axis \mathcal{B}_3B3?
- (0, 0, 1, -3, 0, 0)(0,0,1,−3,0,0)
- (0, 0, 1, 0, -3, 0)(0,0,1,0,−3,0)
- (0, 0, 1, 0, 0, -3)(0,0,1,0,0,−3)
Quiz 03: Lecture Comprehension, Forward Kinematics Example
Q1. In the image below, imagine a frame {c} on the axis of joint 2 and aligned with the {s} frame. What is the screw axis of joint 1 expressed in the frame {c}?
- (0, 0, 1, 0, 10, 0)(0,0,1,0,10,0)
- (0, 0, 1, 0, 0, 10)(0,0,1,0,0,10)
Quiz 04: Chapter 4, Forward Kinematics
Q1. The URRPR spatial open chain robot is shown below in its zero position.
For L = 1L=1, determine the end-effector zero configuration MM. The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤.
- 1
- [[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,1]]
Q2. Referring back to Question 1, determine the screw axes \mathcal{S}_iSi in {0} when the robot is in its zero position. Again L = 1L=1. Give the axes as a 6×6 matrix with the form \left[\mathcal{S}_1, \mathcal{S}_2, \dots, \mathcal{S}_6 \right][S1,S2,…,S6], i.e., each column is a screw axis. The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤
- 1
- [[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0]]
Q3. Referring back to Question 1, determine the screw axes \mathcal{B}_iBi in {b} when the robot is in its zero position. Again L = 1L=1. Give the axes as a matrix with the form \left[\mathcal{B}_1, \mathcal{B}_2, \dots, \mathcal{B}_6 \right][B1,B2,…,B6]. The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤.
- 1
- [[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0]]
Q4. Referring back to Question 1 and 2, given L = 1L=1 and joint variable values \theta = (-\pi/2, \pi/2, \pi/3, -\pi/4, 1, \pi/6)θ=(−π/2,π/2,π/3,−π/4,1,π/6), use the function {\tt FKinSpace}FKinSpace in the given software to find the end-effector configuration T \in SE(3)T∈SE(3). The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤.
- 1
- [[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,1]]
Q5. Referring back to Question 1 and 3, given L = 1L=1 and joint variable values \theta = (-\pi/2, \pi/2, \pi/3, -\pi/4, 1, \pi/6)θ=(−π/2,π/2,π/3,−π/4,1,π/6), use the function {\tt FKinBody}FKinBody in the given software to find the end-effector configuration T \in SE(3)T∈SE(3). The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤.
- 1
- [[0,0,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,1]]
Week 02: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
Quiz 02: Lecture Comprehension, Velocity Kinematics and Statics (Chapter 5 Introduction)
Q1. True or false? The Jacobian matrix depends on the joint variables.
- True.
- False.
Q2. True or false? The Jacobian matrix depends on the joint velocities.
- True.
- False.
Q3. True or false? Row ii of the Jacobian corresponds to the end-effector velocity when joint ii moves at unit speed and all other joints are stationary.
- True.
- False.
Q4. Consider a square Jacobian matrix that is usually full rank. At a configuration where one row of the Jacobian becomes a scalar multiple of another row, is the robot at a singularity?
- Yes.
- No.
Q5. In general, a sphere (or hypersphere, meaning a sphere in more than 3 dimensions) of possible joint velocities maps through the Jacobian to
- a sphere (or hypersphere).
- a polyehdron.
- an ellipsoid (or hyperellipsoid).
Q6. Assume a three-dimensional end-effector velocity. At a singularity, the volume of the ellipsoid of feasible end-effector velocities becomes
- zero.
- infinite.
Q7. At a singularity,
- some end-effector forces become impossible to resist by the joint forces and torques.
- some end-effector forces can be resisted even with zero joint forces or torqu
Quiz 02: Lecture Comprehension, Statics of Open Chains (Chapter 5.2)
Q1. If the wrench -\mathcal{F}−F is applied to the end-effector, to stay at equilibrium the robot must apply the joint forces and torques \tau = J^{\rm T}(\theta) \mathcal{F}τ=JT(θ)F to resist it. If the robot has 4 one-dof joints, what is the dimension of the subspace of 6-dimensional end-effector wrenches that can be resisted by \tau = 0τ=0?
- 2-dimensional.
- At least 2-dimensional.
- 4-dimensional.
- At least 4-dimensional.
Quiz 03: Lecture Comprehension, Singularities (Chapter 5.3)
Q1. Consider a robot with 7 joints and a space Jacobian with a maximum rank of 6 over all configurations of the robot. At the current configuration, the rank of the space Jacobian is 5. Which of the following statements is true? Select all that apply.
- The robot is redundant with respect to the task of generating arbitrary end-effector twists.
- The robot is kinematically deficient with respect to the task of generating arbitrary end-effector twists.
- The robot is at a singularity.
Q2. Consider a robot with 7 joints and a space Jacobian with a maximum rank of 3 over all configurations of the robot. At the current configuration, the rank of the space Jacobian is 3. Which of the following statements is true? Select all that apply.
- The robot is redundant with respect to the task of generating arbitrary end-effector twists.
- The robot is at a singularity.
- The space Jacobian is “fat.”
Q3. Consider a robot with 8 joints and a body Jacobian with rank 6 at a given configuration. For a given desired end-effector twist \mathcal{V}_bVb, what is the dimension of the subspace of joint velocities (in the 8-dimensional joint velocity space) that create the desired twist?
- 2
- 0
- The desired twist cannot be generated.
Quiz 04: Lecture Comprehension, Manipulability (Chapter 5.4)
Q1. It’s more useful to visualize the manipulability ellipsoid using the body Jacobian than the space Jacobian, since the body Jacobian measures linear velocities at the origin of the end-effector frame, which has a more intuitive meaning than the linear velocity at the origin of the space frame. If the robot has nn joints, then the body Jacobian J_bJb is 6 \times n6×n. We can break J_bJb into two sub-Jacobians, the angular and linear Jacobians:
J_b = \left[
JbωJbv
\right].Jb=[JbωJbv].
What is the dimension of J_{bv}J_{bv}^{\rm T}JbvJbvT, which is used to generate the linear component of the manipulability ellipsoid?
- 3 \times 33×3
- 6 \times 66×6
- n \times nn×n
Q2. Consider a robot with a full rank Jacobian as it approaches a singular configuration. As it approaches a singular configuration, what happens to the manipulability ellipsoid? Select all that apply.
- The length of one principal axis approaches zero.
- The length of one principal axis approaches infinity.
- The interior “volume” of the ellipsoid approaches zero.
- The interior “volume” of the ellipsoid approaches infinity.
Q3. Consider a robot with a full rank Jacobian as it approaches a singular configuration. As it approaches the singular configuration, what happens to the force ellipsoid? Select all that apply.
- The length of one principal axis approaches zero.
- The length of one principal axis approaches infinity.
- The interior “volume” of the ellipsoid approaches zero.
- The interior “volume” of the ellipsoid approaches infinity.
Quiz 05: Chapter 5, Velocity Kinematics and Statics
Q1. A 3R planar open-chain robot is shown below.
Suppose the tip generates a wrench that can be expressed in the space frame {s} as a force of 2 N in the \hat{{\rm x}}_{{\rm s}}x^s direction, with no component in the \hat{{\rm y}}_{{\rm s}}y^s direction and zero moment in the {s} frame. What torques must be applied at each of the joints? Positive torque is counterclockwise (the joint axes are out of the screen, so positive rotation about the joints is counterclockwise). Give the torque values in the form (\tau_1, \tau_2, \tau_3)(τ1,τ2,τ3). The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Important: Remember that the wrench applied by the robot end-effector has zero moment in the {s} frame. No other frame is defined in the problem. In particular, no frame is defined at the tip of the robot.
Write the vector in the answer box and click “Run”:
[1.11,2.22,3.33] for \left[
1.112.223.33
\right]⎣⎢⎡1.112.223.33⎦⎥⎤.
- 1
- 2
- 3
- 4
- [0,0,0]
- # Edit the answer above this line! Do not edit below this line!
- print ‘Your answer has been recorded as’, Your_Answer()
Q2. The 4R planar open-chain robot below has an end-effector frame {b} at its tip.
Considering only the planar twist components (\omega_{bz}, v_{bx}, v_{by})(ωbz,vbx,vby) of the body twist \mathcal{V}_bVb, the body Jacobian is
Jb(θ)=⎡⎣1L3s4+L2s34+L1s234L4+L3c4+L2c34+L1c2341L3s4+L2s34L4+L3c4+L2c341L3s4L4+L3c410L4⎤⎦
where s23=sin(θ2+θ3), etc.
Suppose L_1 = L_2 = L_3 = L_4 = 1L1=L2=L3=L4=1 and the chain is at the configuration \theta_1=\theta_2=0, \theta_3=\pi/2, \theta_4=-\pi/2θ1=θ2=0,θ3=π/2,θ4=−π/2. The joints generate torques to create the wrench \mathcal{F}_b = (0,0,10, 10,10,0)Fb=(0,0,10,10,10,0) at the last link. What are the torques at each of the joints? Give the torque values in the form (\tau_1, \tau_2, \tau_3, \tau_4)(τ1,τ2,τ3,τ4). The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the vector in the answer box and click “Run”:
[1.11,2.22,3.33,4.44] for \left[
1.112.223.334.44
\right]⎣⎢⎢⎢⎡1.112.223.334.44⎦⎥⎥⎥⎤.
- 1
- [0,0,0,0]
Q3. The RRP robot is shown below in its zero position.
Its screw axes in the space frame are
S1=⎡⎣⎢⎢⎢⎢⎢⎢⎢001000⎤⎦⎥⎥⎥⎥⎥⎥⎥, S2=⎡⎣⎢⎢⎢⎢⎢⎢⎢100020⎤⎦⎥⎥⎥⎥⎥⎥⎥, S3=⎡⎣⎢⎢⎢⎢⎢⎢⎢000010⎤⎦⎥⎥⎥⎥⎥⎥⎥.
Use the function {\tt JacobianSpace}JacobianSpace in the given software to calculate the 6×3 space Jacobian J_sJs when \theta =(90^\circ, 90^\circ, 1)θ=(90∘,90∘,1). The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤.
- 1
- [[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0]]
Q5. Referring back to Question 3, the screw axes in the body frame are
B1=⎡⎣⎢⎢⎢⎢⎢⎢⎢010300⎤⎦⎥⎥⎥⎥⎥⎥⎥, B2=⎡⎣⎢⎢⎢⎢⎢⎢⎢−100030⎤⎦⎥⎥⎥⎥⎥⎥⎥, B3=⎡⎣⎢⎢⎢⎢⎢⎢⎢000001⎤⎦⎥⎥⎥⎥⎥⎥⎥.
Use the function {\tt JacobianBody}JacobianBody in the given software to calculate the 6×3 body Jacobian J_bJb when \theta =(90^\circ, 90^\circ, 1)θ=(90∘,90∘,1). The maximum allowable error for any number is 0.01, so give enough decimal places where necessary.
Write the matrix in the answer box and click “Run”:
[[1.11,2.22,3.33],[4.44,5.55,6.66],[7.77,8.88,9.99]] for \left[
1.114.447.772.225.558.883.336.669.99
\right]⎣⎢⎡1.114.447.772.225.558.883.336.669.99⎦⎥⎤.
- 1
- [[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0]]
Q6. The kinematics of the 7R WAM robot are given in Section 4.1.3 in the textbook. The numerical body Jacobian J_bJb when all joint angles are \pi/2π/2 is
J_b = \left[
001−0.105−0.8890−10000.006−0.1050100.00600.889001−0.045−0.8440−10000.00600100.00600001000
\right]Jb=⎣⎢⎢⎢⎢⎢⎢⎢⎡001−0.105−0.8890−10000.006−0.1050100.00600.889001−0.045−0.8440−10000.00600100.00600001000⎦⎥⎥⎥⎥⎥⎥⎥⎤
Extract the linear velocity portion J_vJv (joint rates act on linear velocity). Calculate the directions and lengths of the principal semi-axes of the three-dimensional linear velocity manipulability ellipsoid based on J_vJv. Give a unit vector, with at least 2 decimal places for each element in this vector, to represent the direction of the longest principal semi-axis.
Write the vector in the answer box and click “Run”:
[1.11,2.22,3.33] for \left[
1.112.223.33
\right]⎣⎢⎡1.112.223.33⎦⎥⎤.
- 1
- [0,0,0]
Q7. Referring back to Question 5 and its result, give the length, with at least 2 decimal places, of the longest principal semi-axis of that three-dimensional linear velocity manipulability ellipsoid.
Week 03: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
Quiz 01: Lecture Comprehension, Inverse Kinematics of Open Chains (Chapter 6 Introduction)
Q1. Consider the point (x,y) = (0,2)(x,y)=(0,2). What is {\rm atan2}(y,x)atan2(y,x), measuring the angle from the xx-axis to the vector to the point (x,y)(x,y)?
- 0
- \pi/2π/2
- -\pi/2−π/2
Q2. What are advantages of numerical inverse kinematics over analytic inverse kinematics? Select all that apply.
- It can be applied to open-chain robots with arbitrary kinematics.
- It requires an initial guess at the solution.
- It returns all possible inverse kinematics solutions.
Quiz 02: Lecture Comprehension, Numerical Inverse Kinematics (Chapter 6.2, Part 1 of 2)
Q1. Let f(\theta)f(θ) be a nonlinear function of \thetaθ mapping an nn-dimensional space (the dimension of \thetaθ) to an mm-dimensional space (the dimension of ff). We want to find a \theta_dθd, which may not be unique, that satisfies x_d = f(\theta_d)xd=f(θd), i.e., x_d – f(\theta_d) = 0xd−f(θd)=0. If our initial guess at a solution is \theta^0θ0, then a first-order Taylor expansion approximation of f(\theta)f(θ) at \theta^0θ0 tells us
x_d \approx f(\theta^0) + J(\theta^0)(\theta_d – \theta^0)xd≈f(θ0)+J(θ0)(θd−θ0)
where J(\theta^0)J(θ0) is the matrix of partial derivatives \partial f/\partial \theta∂f/∂θ evaluated at \theta^0θ0. Which of the following is a good next guess \theta^1θ1?
- \theta^1 = \theta^0 + J^\dagger(\theta^0) (x_d – f(\theta^0))θ1=θ0+J†(θ0)(xd−f(θ0))
- \theta^1 = \theta^0 – J^\dagger(\theta^0) (x_d – f(\theta^0))θ1=θ0−J†(θ0)(xd−f(θ0))
- \theta^1 = J^{-1}(\theta^0) (x_d – f(\theta^0))θ1=J−1(θ0)(xd−f(θ0))
Q2. We want to solve the linear equation Ax = bAx=b where AA is a 3×2 matrix, xx is a 2-vector, and bb is a 3-vector. For a randomly chosen AA matrix and vector bb, how many solutions xx can we expect?
- None.
- One.
- More than one.
Q3. We want to solve the linear equation Ax = bAx=b, where
A = \left[
142536
\right]A=[142536]
and b = [7 \;\;8]^{\rm T}b=[78]T. Since xx is a 3-vector and bb is a 2-vector, we can expect a one-dimensional set of solutions in the 3-dimensional space of possible xx values. The following are all solutions of the linear equation. Which is the solution given by x = A^\dagger bx=A†b? (You should be able to tell by inspection, without using software.)
- (-1.06, -3.89, 5.28)(−1.06,−3.89,5.28)
- (-3.06, 0.11, 3.28)(−3.06,0.11,3.28)
- (-5.06, 4.11, 1.28)(−5.06,4.11,1.28)
Q4. If we would like to find an xx satisfying Ax = bAx=b, but AA is “tall” (meaning it has more rows than columns, i.e., the dimension of bb is larger than the dimension of xx), then in general we would see there is no exact solution. In this case, we might want to find the x^*x∗ that comes closest to satisfying the equation, in the sense that x^*x∗ minimizes\|Ax^* – b\|∥Ax∗−b∥ (the 2-norm, or the square root of the sum of the squares of the vector). This solution is given by x^* = A^\dagger bx∗=A†b. Which of the two answers below satisfies this condition if
A = \left[
12
\right], \;\; b = \left[
34
\right]?A=[12],b=[34]?
- x^* = 2.2x∗=2.2
- x^* = 1x∗=1
Quiz 03: Lecture Comprehension, Numerical Inverse Kinematics (Chapter 6.2, Part 2 of 2)
Q1. To adapt the Newton-Raphson root-finding method to inverse kinematics when the desired end-effector configuration is represented as a transformation matrix X_d \in SE(3)Xd∈SE(3), we need to express the error between T_{sb}(\theta^i)Tsb(θi) (the forward kinematics, where \theta^iθi is our current guess at a joint solution) and X_dXd. One expression of this error is the twist that takes the the robot from T_{sb}(\theta^i)Tsb(θi) to X_dXd in unit time. When this twist is expressed in the end-effector frame {b}, we write it as \mathcal{V}_bVb. Which of the following is a correct expression?
- \mathcal{V}_b = {\rm log} (T_{sb}^{-1}(\theta^i) X_d)Vb=log(Tsb−1(θi)Xd)
- [\mathcal{V}_b] = {\rm log} (T_{sb}^{-1}(\theta^i) X_d)[Vb]=log(Tsb−1(θi)Xd)
- \mathcal{V}_b = {\rm exp} (T_{sb}^{-1}(\theta^i) X_d)Vb=exp(Tsb−1(θi)X
Quiz 04: Chapter 6, Inverse Kinematics
Q1. Use Newton-Raphson iterative numerical root finding to perform two steps of finding the root of
f(x,y) = \left[
x2−9y2−4
\right]f(x,y)=[x2−9y2−4]
when your initial guess is (x^0,y^0) = (1,1)(x0,y0)=(1,1). Give the result after two iterations (x^2,y^2)(x2,y2) with at least 2 decimal places for each element in the vector. You can do this by hand or write a program.
Write the vector in the answer box and click “Run”:
[1.11,2.22,3.33] for \left[
1.112.223.33
\right]⎣⎢⎡1.112.223.33⎦⎥⎤.
- 1
- [0,0]
Q2.
![Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers 2023 [💯% Correct Answer] 7](https://d3c33hcgiwev3.cloudfront.net/imageAssetProxy.v1/CmGN5VdWEemo6BKcywtCxg_7abce0bde0acf0f1af1842df92cdac7f_3R.png?expiry=1664841600000&hmac=5rEZkRPI_HSsXYtRhHt4yzGyJaJon8WG9BJqmB6KmZY)
Referring to the figure above, find the joint angles \theta_d = (\theta_1,\theta_2,\theta_3)θd=(θ1,θ2,θ3) that put the 3R robot’s end-effector frame {b} at
T(\theta_d) = T_{sd} = \left[
−0.5850.81100−0.811−0.5850000100.0762.60801
\right]T(θd)=Tsd=⎣⎢⎢⎢⎡−0.5850.81100−0.811−0.5850000100.0762.60801⎦⎥⎥⎥⎤
relative to the {s} frame, where linear distances are in meters. (The {s} frame is located at joint 1, but it is drawn at a different location for clarity.) The robot is shown at its home configuration, and the screw axis for each joint points toward you (out of the screen). The length of each link is 1 meter. Your solution should use either {\tt IKinBody}IKinBody or {\tt IKinSpace}IKinSpace, the initial guess \theta^0 = (\pi/4,\pi/4,\pi/4) = (0.7854, 0.7854, 0.7854)θ0=(π/4,π/4,π/4)=(0.7854,0.7854,0.7854), and tolerances \epsilon_\omega = 0.001ϵω=0.001 (0.057 degrees) and \epsilon_v = 0.0001ϵv=0.0001 (0.1 mm). Give \theta_dθd as a vector with at least 2 decimal places for each element in the vector. (Note that there is more than one solution to the inverse kinematics for T_{sd}Tsd, but we are looking for the solution that is “close” to the initial guess \theta^0 = (\pi/4,\pi/4,\pi/4)θ0=(π/4,π/4,π/4), i.e., the solution that will be returned by {\tt IKinBody}IKinBody or {\tt IKinSpace}IKinSpace.)
Write the vector in the answer box and click “Run”:
[1.11,2.22,3.33] for \left[
1.112.223.33
\right]⎣⎢⎡1.112.223.33⎦⎥⎤.
- 1
- [0,0,0]
week 04: Modern Robotics, Course 2: Robot Kinematics Coursera Quiz Answers
Quiz 01: Lecture Comprehension, Kinematics of Closed Chains (Chapter 7)
Q1. Which of the following statements is true about closed-chain and parallel robots? Select all that apply.
- For a given set of positions of the actuated joints, there may be more than one configuration of the end-effector.
- Closed-chain robots are a subclass of parallel robots.
- Some joints may be unactuated.
- The inverse kinematics for a parallel robot are generally easier to compute than its forward kinematics.
- Parallel robots are sometimes chosen instead of open-chain robots for their larger workspace.
Quiz 02: Chapter 7, Kinematics of Closed Chains
Q1. The inverse Jacobian J^{-1}J−1 for a parallel robot maps the end-effector twist \mathcal{V}V to the actuated joint velocities \dot{\theta}θ˙, and therefore the inverse Jacobian has nn rows (if there are nn actuators) and 6 columns (since a twist is 6-dimensional).
If the twist \mathcal{V}V consists of a 1 in the ii‘th element and zeros in all other elements, then what is the corresponding vector of actuated joint velocities \dot{\theta}θ˙?
- The ii‘th row of J^{-1}J−1.
- The ii‘th column of J^{-1}J−1.
Q2. For the 3xRRR planar parallel mechanism shown below, let \phiϕ be the orientation of the end-effector frame and p \in \mathbb{R}^2p∈R2 be the vector p expressed in fixed frame coordinates. Let a_i \in \mathbb{R}^2ai∈R2 be the vector a_ii expresed in fixed frame coordinates and b_i \in \mathbb{R}^2bi∈R2 be the vector b_ii expressed in the moving body frame coordinates. Define vector \text{d}_i = \text{p} + R\text{b}_{i} – \text{a}_{i}di=p+Rbi−ai for i = 1, 2, 3i=1,2,3, where
R = \left[\begin{array}{cc}\cos\phi & -\sin\phi \\\sin\phi & \cos\phi \\\end {array}\right].R=[cosϕsinϕ−sinϕcosϕ].
Derive a set of independent equations relating (\phi, p)(ϕ,p) and (\theta_1, \theta_2, \theta_3)(θ1,θ2,θ3). Which of the following is correct?
- ({p} + R{b}_{i} – {a}_{i})^2 = 2L^2(1 + \cos\theta_{i}), i = 1, 2, 3.(p+Rbi−ai)2=2L2(1+cosθi),i=1,2,3.
- ({p} + R{b}_{i} – {a}_{i})^\intercal({p} + R{b}_{i} – {a}_{i}) = 2L^2(1 – \sin\theta_{i}), i = 1, 2, 3.(p+Rbi−ai)⊺(p+Rbi−ai)=2L2(1−sinθi),i=1,2,3.
- ({p} + R{b}_{i} – {a}_{i})^\intercal({p} + R{b}_{i} – {a}_{i}) = 2L^2(1 – \cos\theta_{i}), i = 1, 2, 3.(p+Rbi−ai)⊺(p+Rbi−ai)=2L2(1−cosθi),i=1,2,3.
- ({p} + R{b}_{i} – {a}_{i})^\intercal({p} + R{b}_{i} – {a}_{i}) = 2L^2(1 + \cos\theta_{i}), i = 1, 2, 3.(p+Rbi−ai)⊺(p+Rbi−ai)=2L2(1+cosθi),i=1,2,3.
We will Update These Answers Soon.
About The Coursera
Coursera, India’s largest online learning platform, started offering students millions of free courses daily. These courses come from a number of well-known universities, where professors and industry experts teach very well and in a way that is easier to understand.
About Modern Robotics, Course 2: Robot Kinematics Course
Want to find out how robots work? Do you want to work in the field of robotics? Are you willing to put in the time and effort to learn basic mathematical modelling techniques that are used in all areas of robotics?
If so, you might be interested in “Modern Robotics: Mechanics, Planning, and Control.” This specialisation, which is made up of six short courses, is a serious way for students who want to work in robotics or go on to more advanced study to prepare. It’s not a tester.
In Course 2 of the specialisation, Robot Kinematics, you will learn how to use the product-of-exponentials formula to solve the forward kinematics. This is the process of figuring out how the robot’s “hand” is set up based on the joint values. Your hard work in Course 1 pays off well, because the tools you’ve learned make forward kinematics easy. This is followed by velocity kinematics and statics, which show how joint velocities, forces, and torques relate to twists and wrenches in the end-effector, inverse kinematics, which shows how to calculate joint values to get a desired “hand” shape, and kinematics of robots with closed chains.
The book “Modern Robotics: Mechanics, Planning, and Control” is used as a guide for this class (Lynch and Park, Cambridge University Press 2017). You can buy the book, or you can use the free PDF preprint. You will build on a library of robotics software in the language of your choice (Python, Mathematica, or MATLAB) and use the free cross-platform robot simulator V-REP, which lets you work with cutting-edge robots at home without spending any money.
Read Also Articles:
- Mindshift: Break Through Obstacles to Learning Coursera Courses Quiz Answers
- Sequences, Time Series and Prediction Coursera Quiz Answers | Get Free Coursera Verified Certificate in 2021
- Oral Communication for Engineering Leaders Coursera Quiz Answer [Updated Answers‼️] 2021
- Six Sigma Advanced Analyze Phase Coursera Quiz Answers [Updated Answers‼️] 2021
- Renewable Energy and Green Building Entrepreneurship Coursera Exam Answers [Updated Answers‼️] 2021
Conclusion
Hopefully, this article will help you find all the Week, final assessment, and Peer Graded Assessment Answers for the Coursera Modern Robotics, Course 2: Robot Kinematics Quiz, allowing you to acquire a greater understanding with minimal effort. If this article has helped you, share it on social media and let your friends know about this incredible training.
You may also view our additional course Answers. Follow our Techno-RJ Blog for further updates, and stick with us as we share many more free courses and their exam/quiz solutions.
wow nice post
Hallo zusammen, das nächste offizielle Signal ist geplant für: Datum: Sonntag, 29. Januar 2023 Zeit: 16:00 Uhr GMT Austausch: KUCOIN Vorteil: Kostenlos für alle Klicken Sie hier, um der Cryptos Profit Group beizutreten Wir werden die alternative Saison selbst erstellen, wenn dies der Fall ist nicht zu uns kommen, und dafür brauchen wir mehr denn je die Wiedervereinigung unserer gesamten Gemeinschaft. Auch für 2023 haben wir einige Neuerungen geplant, die wir mit unseren Mitgliedern besprechen werden, wenn sich der Markt erholt. Mit dem Erfolg unserer vorherigen Signale und einer bevorstehenden großen Nebensaison sind wir bereit, unseren nächsten großen Pump anzukündigen. Mit unseren Volumina von durchschnittlich 7 bis 80 Millionen $ pro Pumpe und Spitzen von bis zu 750 % erwarten wir, dass unser bevorstehendes Signal massiv sein wird. Wir haben uns aus mehreren Gründen entschieden, mit KUCOIN zu pumpen. Wir glauben, dass wir mit unserer massiven Kaufkraft in der Lage sein werden, leicht über 2000 % zu erreichen, möglicherweise sogar noch mehr. Nach dem vorherigen Signal und wochenlangen Diskussionen mit unserem Team haben wirhaben beschlossen, unser nächstes Signal in 1 Monat zu planen, um sicherzustellen, dass wir vollständig vorbereitet sind. Unser Hauptziel für dieses Pumpsignal wird es sein, sicherzustellen, dass jedes einzelne Mitglied in unserer Gruppe einen massiven Gewinn erzielt. Mit unserer Fähigkeit, weiterhin die leistungsstärksten und größten Pumpen zu entwickeln, werden wir jede sich bietende Gelegenheit nutzen. Wir laden alle ein, sich uns anzuschließen, wenn wir den nächsten großen Pump schaffen, auf den alle Händler und Investoren auf der ganzen Welt gewartet haben. Treten Sie unserer Cryptos Profit Group bei. Verdienen Sie 500 % bis 2000 % bei jeder Münzauswahl Wir analysieren den Kryptomarkt, um die beste Münze für unsere Abonnenten zu finden, um in kurzer Zeit Geld zu verdienen. Begleiten Sie uns, Sie werden es nicht bereuen. Klicken Sie hier, um der Cryptos Profit Group beizutreten
https://bit.ly/CryptoPumpandDumpProfit
F*ckin¦ tremendous issues here. I¦m very satisfied to look your article. Thank you so much and i am having a look ahead to contact you. Will you kindly drop me a mail?
After study a few of the blog posts on your website now, and I truly like your way of blogging. I bookmarked it to my bookmark website list and will be checking back soon. Pls check out my web site as well and let me know what you think.
I simply could not depart your site before suggesting that I actually enjoyed the standard information a person supply for your guests? Is going to be back regularly in order to check up on new posts.
I know this if off topic but I’m looking into starting my own weblog and was wondering what all is required to get setup? I’m assuming having a blog like yours would cost a pretty penny? I’m not very internet smart so I’m not 100 positive. Any suggestions or advice would be greatly appreciated. Appreciate it
I truly enjoy examining on this website, it contains great posts. “One should die proudly when it is no longer possible to live proudly.” by Friedrich Wilhelm Nietzsche.
Heya i’m for the first time here. I found this board and I find It truly useful & it helped me out much. I hope to offer something again and aid others such as you aided me.
You made some clear points there. I did a search on the issue and found most individuals will go along with with your blog.
buy tadalafil 10mg pills cialis drug buy ed medications online
duricef 500mg for sale order propecia generic proscar 1mg for sale
buy generic fluconazole for sale diflucan 100mg tablet ciprofloxacin 1000mg tablet
order mebendazole order tadalafil 20mg pills order tadalafil 10mg online
avana 200mg over the counter oral avanafil 100mg purchase diclofenac generic
cleocin order buy clindamycin without prescription purchase sildenafil
nolvadex pills nolvadex 20mg generic purchase ceftin generic
how to buy trimox buy biaxin online cost clarithromycin 500mg
careprost brand order desyrel 50mg sale buy trazodone 50mg sale
clonidine 0.1mg oral buy spiriva tablets spiriva cost
order suhagra 100mg without prescription sildalis generic purchase sildalis online cheap
order minocycline 50mg pill buy terazosin 5mg online buy pioglitazone 15mg online cheap
leflunomide 20mg uk viagra brand order sulfasalazine 500 mg sale
tadalafil 5mg oral buy cialis online cheap brand cialis 40mg
how to get azipro without a prescription cheap omnacortil sale order neurontin 800mg pills
ivermectin 1% buy stromectol for humans uk prednisone 5mg usa
cost altace 5mg glimepiride 4mg tablet etoricoxib 60mg pills
vardenafil over the counter plaquenil online buy plaquenil 400mg canada
asacol 400mg without prescription buy astelin tablets buy avapro 300mg sale
diamox 250 mg ca imdur medication imuran 25mg generic
digoxin 250mg us buy molnunat tablets buy molnupiravir no prescription
buy naproxen medication omnicef buy online buy lansoprazole medication
Some truly nice and utilitarian information on this internet site, as well I think the pattern has got wonderful features.
generic singulair singulair 10mg cost purchase dapsone sale
adalat 10mg usa nifedipine 30mg without prescription buy allegra generic
how to get dapoxetine without a prescription brand dapoxetine 60mg orlistat 60mg for sale
Heya just wanted to give you a quick heads up and let you know a few of the images aren’t loading properly. I’m not sure why but I think its a linking issue. I’ve tried it in two different internet browsers and both show the same outcome.
buy generic diltiazem over the counter cost allopurinol 100mg order zyloprim 100mg for sale
rosuvastatin 20mg over the counter motilium price motilium pill
buy tetracycline baclofen 25mg without prescription purchase lioresal online
purchase toradol generic toradol online order propranolol without prescription
buy reglan 20mg online cheap order cozaar 25mg online cheap nexium 20mg
purchase topamax generic buy topamax 200mg for sale levaquin 500mg without prescription
buy avodart tablets order mobic 15mg pills mobic ca
order celecoxib 100mg without prescription order zofran 8mg for sale buy zofran online
generic spironolactone buy simvastatin without prescription order valacyclovir generic
tretinoin cream usa tadalis 20mg uk order avanafil for sale
propecia 1mg price sildenafil 100mg pills for men viagra 50mg generic
levitra vs cialis buy tadalafil 10mg purchase sildenafil without prescription
Everyone loves what you guys are usually up too. This kind of clever work and reporting! Keep up the terrific works guys I’ve included you guys to my blogroll.
cost cialis 20mg best ed pills online ed pills no prescription
buy azulfidine 500mg sale brand sulfasalazine buy generic calan 120mg
depakote pills how to get acetazolamide without a prescription imdur brand
azathioprine 50mg pills telmisartan 20mg tablet telmisartan 20mg pills
molnupiravir 200 mg without prescription generic naproxen 250mg buy generic omnicef 300mg
order lansoprazole pills prevacid 30mg drug pantoprazole cheap
order phenazopyridine generic amantadine over the counter symmetrel 100mg tablet
buy dapsone 100mg adalat buy online aceon 4mg without prescription
oral fexofenadine 120mg how to buy amaryl buy glimepiride for sale
order etoricoxib 60mg pill etoricoxib 120mg brand azelastine 10ml nasal spray
buy generic irbesartan over the counter order buspar generic buspar 5mg us
buy albenza 400mg online order abilify 30mg sale purchase provera sale
buy generic luvox 100mg order luvox 100mg without prescription order cymbalta sale
glipizide online buy piracetam 800 mg sale betamethasone creams
purchase anafranil online cheap itraconazole usa order progesterone for sale
buy generic tindamax online buy tinidazole 500mg online cheap buy nebivolol sale
valsartan online buy order clozapine 100mg generic ipratropium 100 mcg cost
buy dexamethasone generic order zyvox 600mg online buy starlix pill
captopril 25mg uk buy capoten 25mg tegretol 400mg canada
purchase ciplox pills duricef 250mg cheap cefadroxil online order
purchase lamivudine for sale retrovir 300 mg ca order generic accupril 10mg
buy fluoxetine 40mg pill prozac 40mg drug femara 2.5mg for sale
frumil 5mg cheap brand clindamycin acivir over the counter
buy generic levetiracetam 1000mg generic cotrimoxazole 480mg cheap viagra tablets
order ketotifen sale brand doxepin 75mg buy imipramine 75mg generic
precose canada cheap micronase griseofulvin 250 mg us
I would like to express thanks to this writer for bailing me out of this type of scenario. Just after browsing throughout the online world and coming across things which were not pleasant, I was thinking my life was done. Living devoid of the strategies to the problems you’ve sorted out all through this post is a crucial case, as well as the kind that could have adversely damaged my entire career if I hadn’t noticed your web blog. Your understanding and kindness in controlling the whole lot was valuable. I’m not sure what I would’ve done if I hadn’t discovered such a point like this. I can also at this point look forward to my future. Thanks for your time very much for the professional and amazing guide. I will not think twice to refer your web site to anyone who needs and wants guidelines on this situation.
buy dipyridamole 100mg online plendil 10mg tablet pravachol 10mg brand
Keep on working, great job!
buy fludrocortisone pills for sale buy loperamide no prescription buy imodium generic
brand prasugrel 10mg buy prasugrel generic buy tolterodine 1mg for sale
buy pyridostigmine generic piroxicam cheap cost maxalt 10mg
ferrous where to buy pill risedronate 35mg order betapace online cheap
purchase enalapril generic doxazosin order online order lactulose
zovirax order exelon 6mg cheap buy rivastigmine without a prescription
order cialis 40mg online cheap purchasing cialis on the internet usa viagra sales
What i do not understood is in truth how you are now not really a lot more smartly-liked
than you may be right now. You’re so intelligent.
You recognize therefore significantly with regards to this matter, produced me
personally believe it from so many varied angles. Its like women and men aren’t involved except it’s one thing to accomplish with Woman gaga!
Your own stuffs great. All the time care for it up!
cenforce generic naproxen 500mg pill order aralen 250mg without prescription
modafinil price purchase phenergan pills deltasone 5mg pill
This is my first time pay a quick visit at here and i am genuinely pleassant
to read all at alone place.
buy generic cefdinir 300mg order cefdinir pill order generic lansoprazole 30mg
buy atorvastatin 80mg generic atorvastatin 80mg ca amlodipine 5mg sale
order protonix 20mg pill pyridium price phenazopyridine 200mg over the counter
Everyone loves what you guys tend to be up too. This kind of clever work and exposure!
Keep up the wonderful works guys I’ve incorporated you guys to blogroll.
It’s very easy to find out any matter on net as compared to
textbooks, as I found this piece of writing at this web site.
buy generic symmetrel 100mg buy cheap generic symmetrel dapsone online
methylprednisolone 8mg without prescription buy adalat 30mg pills triamcinolone order
It’s amazing to visit this website and reading the views of all colleagues regarding this post, while I am also keen of getting knowledge.
perindopril 8mg uk order aceon generic order fexofenadine without prescription
baclofen canada buy lioresal pills for sale buy toradol generic
claritin for sale where to buy claritin without a prescription order priligy 60mg for sale
I genuinely enjoy looking through this web site; it holds superb articles. ios-15.com
Heya are using WordPress for your site platform?
I’m new to the blog world but I’m trying to get started and create my own. Do you require any html coding knowledge to make
your own blog? Any help would be really appreciated!
amaryl 1mg cost cytotec price etoricoxib online
order orlistat 60mg generic mesalamine 400mg canada diltiazem 180mg sale
buy famotidine no prescription buy cozaar 50mg online tacrolimus 1mg brand
brand astelin 10ml acyclovir 400mg uk purchase irbesartan
buy generic terbinafine make real money gambling online online casino game
buy aspirin medication no deposit casino gamble poker online
My spouse and I absolutely love your blog and find the majority
of your post’s to be exactly I’m looking for. can you offer guest writers to write content for yourself?
I wouldn’t mind writing a post or elaborating on a lot of the subjects you write concerning here.
Again, awesome website!
stop smoking nhs near me doctors online prescribing pain medicine pain meds online no script
I keep listening to the rumor lecture about receiving free online grant applications so I have been looking around for the top site to get one. Could you tell me please, where could i acquire some?
I like the helpful info you provide in your articles. I’ll bookmark your weblog and check again here regularly. I’m quite sure I will learn plenty of new stuff right here! Good luck for the next!
Nice post. I was checking constantly this blog and I am impressed! Very useful info specially the last part I care for such information a lot. I was looking for this particular info for a very long time. Thank you and best of luck.
prednisone generic buy amoxicillin 250mg pill buy amoxicillin 250mg pill
Cortexi is a natural hearing support aid that has been used by thousands of people around the globe.
I all the time used to study paragraph in news papers but now as I am a user of
net thus from now I am using net for content, thanks to web.
Another thing I have noticed is always that for many people, a bad credit score is the results of circumstances beyond their control. By way of example they may happen to be saddled with illness so they have excessive bills for collections. It can be due to a employment loss or inability to do the job. Sometimes divorce process can truly send the finances in the wrong direction. Thank you for sharing your notions on this site.
Thanks for sharing this article. Discovered your website through a friends blog – very informative and entertaining.
ActiFlow™ is a 100% natural dietary supplement that promotes both prostate health and cognitive performance.
FitSpresso is a special supplement that makes it easier for you to lose weight. It has natural ingredients that help your body burn fat better.
You created some decent points there. I looked online with the problem and discovered most individuals should go together with with all your website.
Whoa that guideline is astonishing it truly helped me and my family, thanks a lot!
Wow, awesome weblog layout! How lengthy have you ever been running a blog for? you make blogging look easy. The total glance of your web site is excellent, as smartly the content!
I like the valuable information you provide in your articles. I’ll bookmark your weblog and check again here frequently. I’m quite certain I’ll learn plenty of new stuff right here! Best of luck for the next!
This web site may be a walk-through rather than the internet you wished about it and didn’t know who to ask. Glimpse here, and you’ll certainly discover it.
Wow! This can be one particular of the most beneficial blogs We have ever arrive across on this subject. Basically Magnificent. I’m also a specialist in this topic so I can understand your effort.
Heya i am for the first time here. I found this board and I find It really helpful & it helped me out much. I hope to offer something back and help others such as you helped me.
i like it jobs because it is a high paying job and you work in an air conditioned office.
What are you indicating, man? I realize everyones got their own view, but really? Listen, your weblog is awesome. I like the effort you put into it, especially with the vids and the pics. But, come on. Theres gotta be a better way to say this, a way that doesnt make it seem like everybody here is stupid!
It was my excitement discovering your site last night. I came here now hoping to find out interesting things. I was not dissatisfied. Your ideas for new methods on this subject were useful and an excellent help to myself. Thank you for having time to create these things along with sharing your thinking.
This was a very nice post. In concept I wish to put in writing like this additionally – taking time and actual effort to make a very good article… however what can I say… I procrastinate alot and not at all seem to get something done.
Sometimes, blogging is a bit tiresome specially if you need to update more topics.,,:’”
I’m impressed, I have to admit. Really rarely can i encounter a weblog that’s both educative and entertaining, and let me tell you, you might have hit the nail to the head. Your idea is outstanding; the problem is something not enough folks are speaking intelligently about. I am delighted i found this around my look for something in regards to this.
I have been exploring for a little bit for any high quality articles or blog posts in this sort of space . Exploring in Yahoo I eventually stumbled upon this web site. Studying this info So i am happy to express that I’ve an incredibly just right uncanny feeling I found out just what I needed. I such a lot for sure will make sure to do not fail to remember this site and provides it a look a relentless basis.
This is exactly what I was looking for.. really simple to install, totally free just had to register to download, thanks
Great goods from you, man. Ive understand your stuff previous to and you are just extremely wonderful. I really like what youve acquired here, certainly like what you are saying and the way in which you say it. You make it entertaining and you still care for to keep it smart. I cant wait to read much more from you. This is really a tremendous site.
I don’t know if it’s just me or if everyone else encountering problems with your website. It appears like some of the text on your posts are running off the screen. Can somebody else please provide feedback and let me know if this is happening to them too? This could be a problem with my browser because I’ve had this happen before. Thank you
I must point out my admiration for your generosity supporting women who should have guidance on this one study. Your personal dedication to passing the message all-around turned out to be especially effective and has frequently encouraged ladies like me to achieve their endeavors. Your own useful report denotes a great deal a person like me and even further to my colleagues. Thanks a ton; from each one of us.
pay per click programs are really great, i could earn some decent cash from it,,
Hey! I would like to leave a comment. I truly enjoyed reading this article. Sustain the awesome effort.
Im not such an skilled when it involves this. awesome browse, appreciate your bloging this.
Great post, you have pointed out some excellent points, I as well believe this is a very superb website.
hello I was very impressed with the setup you used with this blog. I use blogs my self so congrats. definatly adding to favorites.
duricef 500mg us epivir online purchase epivir generic
I gotta favorite this website it seems extremely helpful invaluable
Thanks a lot for your energy to have had these things together on this site. Robin and that i very much liked your knowledge through the articles about certain things. I know that you have several demands on your program so the fact that you actually took just as much time just like you did to guide people just like us by means of this article is definitely highly liked.
we are using plastic kitchen faucets at home because they are very cheap and you can easily replace them if they broke“
I thought it was going to be some boring old publish, but it really compensated for my time. I will publish a link to this page on my blog. I am confident my visitors will discover that quite useful
Loving the info on this internet site , you have done outstanding job on the posts .
It¡¦s actually a great and useful piece of information. I am happy that you shared this helpful information with us. Please keep us informed like this. Thanks for sharing.
Keep functioning ,impressive job!
Hello” i can see that you are a really great blogger,
I should test with you here. Which isn’t something I normally do! I enjoy reading a put up that may make people think. Also, thanks for permitting me to remark!
Aw, this has been an extremely good post. In notion I have to set up writing in this way moreover – taking time and actual effort to make a top notch article… but exactly what can I say… I procrastinate alot and also by no indicates seem to go done.
purchase dostinex sale dapoxetine 30mg sale priligy 60mg for sale
Prostadine™ is a revolutionary new prostate support supplement designed to protect, restore, and enhance male prostate health.
EyeFortin is a natural vision support formula crafted with a blend of plant-based compounds and essential minerals. It aims to enhance vision clarity, focus, and moisture balance.
This is so great that I had to comment. I’m usually just a lurker, taking in knowledge and nodding my head in quiet approval at the good stuff…..this required written props. Theory rocks…thanks.
methylprednisolone 4mg for sale methylprednisolone 16mg over counter buy generic clarinex
Intimately, the article is in reality the best on this precious topic. I agree with your conclusions and also can thirstily look forward to your coming updates. Just saying thanks definitely will not simply just be sufficient, for the phenomenal lucidity in your writing. I can at once grab your rss feed to stay informed of any updates. Fabulous work and much success in your business dealings!
This web site is often a walk-through like the knowledge you wished about it and didn’t know who must. Glimpse here, and you’ll absolutely discover it.
This web page won’t show up correctly on my iphone – you may wanna try and fix that
order misoprostol 200mcg pills purchase misoprostol pill diltiazem over the counter
Glad to be one of several visitants on this awful website : D.
It is best to take component in a contest for among the finest blogs on the internet. I will suggest this website!
Good day, Can I export your page photo and use that on my personal web site?
order nootropil pill order anafranil 50mg online cheap purchase clomipramine generic
Neurodrine is a fantastic dietary supplement that protects your mind and improves memory performance. It can help you improve your focus and concentration.
InchaGrow is an advanced male enhancement supplement. The Formula is Easy to Take Each Day, and it Only Uses. Natural Ingredients to Get the Desired Effect
Hi I am so delighted I found your blog page, I really found you by accident, while I was browsing on Yahoo for something else, Anyways I am here now and would just like to say cheers for a incredible post and a all round interesting blog (I also love the theme/design), I don’t have time to look over it all at the minute but I have saved it and also added in your RSS feeds, so when I have time I will be back to read more, Please do keep up the excellent job.
I am glad to be a visitant of this consummate web blog ! , thankyou for this rare info ! .
countries that do need lots of financial aids are those coming from Africa. i could only wish that their lives would become better`
Hello! I merely wish to make a massive thumbs up for that wonderful info you may have here during this post. I’ll be coming back to your blog post for further soon.
The essentially wonderful point about the Top rated Commenters widget designed into the NoFollow Totally free plugin is the fact which you can set the quantity of commenters who make the record. Fly-by single-comment spammers commonly are not rewarded with do-follow backlinks or identified, however they do opt in in your newsletter. Your loyal visitors are are subsequently rewarded.
oral acyclovir 400mg buy allopurinol online cheap rosuvastatin buy online
Amiclear is a dietary supplement designed to support healthy blood sugar levels and assist with glucose metabolism. It contains eight proprietary blends of ingredients that have been clinically proven to be effective.
Dentitox Pro is a liquid dietary solution created as a serum to support healthy gums and teeth. Dentitox Pro formula is made in the best natural way with unique, powerful botanical ingredients that can support healthy teeth.
ProDentim is a nutritional dental health supplement that is formulated to reverse serious dental issues and to help maintain good dental health.
Howdy! I know this is kind of off topic but I was wondering if you knew where I could find a captcha plugin for my comment form? I’m using the same blog platform as yours and I’m having difficulty finding one? Thanks a lot!
Metabo Flex is a nutritional formula that enhances metabolic flexibility by awakening the calorie-burning switch in the body. The supplement is designed to target the underlying causes of stubborn weight gain utilizing a special “miracle plant” from Cambodia that can melt fat 24/7.
TropiSlim is a unique dietary supplement designed to address specific health concerns, primarily focusing on weight management and related issues in women, particularly those over the age of 40.
Nervogen Pro is a cutting-edge dietary supplement that takes a holistic approach to nerve health. It is meticulously crafted with a precise selection of natural ingredients known for their beneficial effects on the nervous system. By addressing the root causes of nerve discomfort, Nervogen Pro aims to provide lasting relief and support for overall nerve function.
Introducing FlowForce Max, a solution designed with a single purpose: to provide men with an affordable and safe way to address BPH and other prostate concerns. Unlike many costly supplements or those with risky stimulants, we’ve crafted FlowForce Max with your well-being in mind. Don’t compromise your health or budget – choose FlowForce Max for effective prostate support today!
I’m impressed, I have to admit. Truly rarely should i encounter a blog that’s both educative and entertaining, and let me tell you, you’ve got hit the nail to the head. Your thought is outstanding; ab muscles a thing that too little people are speaking intelligently about. We are very happy that I came across this at my try to find some thing about it.
SonoVive is an all-natural supplement made to address the root cause of tinnitus and other inflammatory effects on the brain and promises to reduce tinnitus, improve hearing, and provide peace of mind. SonoVive is is a scientifically verified 10-second hack that allows users to hear crystal-clear at maximum volume. The 100% natural mix recipe improves the ear-brain link with eight natural ingredients. The treatment consists of easy-to-use pills that can be added to one’s daily routine to improve hearing health, reduce tinnitus, and maintain a sharp mind and razor-sharp focus.
Undeniably believe that which you said. Your favorite reason appeared to be on the internet the easiest thing to be aware of. I say to you, I certainly get irked while people think about worries that they plainly do not know about. You managed to hit the nail upon the top as well as defined out the whole thing without having side-effects , people could take a signal. Will likely be back to get more. Thanks
where to buy sporanox without a prescription order itraconazole 100 mg without prescription buy tindamax online cheap
Many thanks for making the effort to line all this out for people like us. This kind of article was quite helpful to me.
Hey mate, .This is a great post for such a complicated topic to discuss. I look forward to reading many more excellent posts like this one. Cheers
buy zetia 10mg without prescription zetia pill sumycin canada
Hi there, just became aware of your blog through Google, and found that it is truly informative. I’m going to watch out for brussels. I will be grateful if you continue this in future. Many people will be benefited from your writing. Cheers!
the good thing about solar water heaters is that they can help you conserve energy“
You have made some really great points here. I hope numerous people are able to acquire access to this information. This is great quality of writing is deserving of attention.
Music started playing anytime I opened this web site, so annoying!
cyclobenzaprine 15mg over the counter buy toradol cheap toradol drug
I see that you are using WordPress on your blog, wordpress is the best.
Some really great articles on this site, appreciate it for contribution.
The next time I learn a weblog, I hope that it doesnt disappoint me as a lot as this one. I imply, I know it was my option to learn, however I actually thought youd have something interesting to say. All I hear is a bunch of whining about something that you may fix for those who werent too busy in search of attention.
Simply discovered your site through google and I consider it’s a shame that you’re not ranked greater since this is a implausible post. To alter this I decided to avoid wasting your web site to my RSS reader and I will try to mention you in one of my posts since you really deserv extra readers when publishing content of this quality.
magnificent put up, very informative. I ponder why the other specialists of this sector don’t realize this. You should proceed your writing. I am confident, you have a great readers’ base already!
colcrys canada purchase inderal methotrexate medication
Have you tried twitterfeed on your blog, i think it would be cool.~,-’;
acne medication pills that work buy retino-a cream generic best pills to treat acne
kirkland allergy pills toronto buy albuterol generic allergy medications prescription list
online sleep prescriptions order melatonin 3 mg
prednisone 40mg for sale buy prednisone 20mg pills
teenage acne treatment for girls cheap omnacortil generic best prescription topical for acne
Well done! I thank you your blog post to this matter. It has been useful. my blog: lemonade diet
With havin so much content do you ever run into any problems of plagorism or copyright violation? My blog has a lot of exclusive content I’ve either created myself or outsourced but it appears a lot of it is popping it up all over the web without my agreement. Do you know any methods to help reduce content from being stolen? I’d truly appreciate it.
Hi” best wishes to you and your very nice blog”
Thanks a ton for finding the time to line all of this out for us. This kind of posting has been quite helpful if you ask me.
Good web site! I truly love how it is easy on my eyes and the data are well written. I’m wondering how I could be notified whenever a new post has been made. I have subscribed to your RSS which must do the trick! Have a great day!
The details on News is very much imptortant to us.
i would love to be an ebay powerseller but it takes a lot of work to become one. you need also to have lots of good feedback~
costco canada cold and sinus generic promethazine skin allergy tablets list
Being grateful for for your post. I know that throughout today’s complicated world, folks have many beliefs and this has made it to be very difficult for learners much like me. However, you have made it very easy for me to fully grasp and I now have in mind the correct thing. Your continued reputation as one of the top experts on this topic may be increased through words with appreciation from visitors like me. Thanks, again.
The color of your blog is quite great. i would love to have those colors too on my blog.;’”-:
gerd prescription medications list order glycomet 500mg without prescription
With havin so much written content do you ever run into any problems of plagorism or copyright violation? My website has a lot of exclusive content I’ve either written myself or outsourced but it seems a lot of it is popping it up all over the internet without my agreement. Do you know any solutions to help reduce content from being ripped off? I’d genuinely appreciate it.
isotretinoin 10mg for sale buy isotretinoin pills accutane pills
Nice post. I discover something very complicated on distinct blogs everyday. Most commonly it is stimulating to read content off their writers and use a specific thing from their store. I’d would rather apply certain with all the content on my own blog no matter whether you do not mind. Natually I’ll supply you with a link for your internet weblog. Many thanks sharing.
The essentially wonderful point about the Top rated Commenters widget designed into the NoFollow Totally free plugin is the fact which you can set the quantity of commenters who make the record. Fly-by single-comment spammers commonly are not rewarded with do-follow backlinks or identified, however they do opt in in your newsletter. Your loyal visitors are are subsequently rewarded.
amoxil usa how to buy amoxil order amoxicillin 250mg generic
Oh my goodness! an amazing article dude. Thank you Even so My business is experiencing problem with ur rss . Don’t know why Unable to subscribe to it. Can there be anyone obtaining identical rss problem? Anybody who knows kindly respond. Thnkx
azithromycin 250mg canada order zithromax 250mg sale zithromax 500mg uk
order gabapentin generic neurontin 800mg without prescription
You made some decent points there. I did a search on the subject matter and found most persons will approve with your site.
Dead pent subject material , appreciate it for information .
Some genuinely great blog posts on this internet site , regards for contribution.
*There are some interesting points in time in this article but I don’t know if I see all of them center to heart. There is some validity but I will take hold opinion until I look into it further. Good article , thanks and we want more! Added to FeedBurner as well
there are portable wine coolers which also fit in a small office space. i use them in my home office**
Spot up with this write-up, I must say i believe this web site wants a lot more consideration. I’ll probably be once more to read much more, thank you for that information.
I am usually to blogging and i really appreciate your website content continuously. This great article has truly peaks my interest. I am going to bookmark your website and keep checking for brand new info.
cost azipro azipro sale azipro price
Unquestionably believe that which you said. Your favorite reason seemed to be on the net the simplest thing to be aware of. I say to you, I certainly get annoyed while people think about worries that they plainly do not know about. You managed to hit the nail upon the top and also defined out the whole thing without having side-effects , people can take a signal. Will probably be back to get more. Thanks
Hello! I just now wish to provide a huge thumbs up for that excellent information you may have here during this post. I will be returning to your blog to get more detailed soon.
[…]the time to read or visit the content or sites we have linked to below the[…]…
order omnacortil 20mg online prednisolone 20mg brand omnacortil 20mg sale
Point received and well taken, when I disagree it’s not a reason to argue. No problem at all.
buy amoxil 1000mg without prescription order amoxicillin 1000mg sale buy amoxil 500mg generic
buy generic doxycycline online order vibra-tabs sale
This one is an inspiration personally to uncover out far more associated to this subject. I need to confess your knowledge prolonged my sentiments as well as I’m going to proper now take your feed to remain updated on each coming blog posts you would possibly presumably create. You are worthy of thanks for a job perfectly performed!
As far as me being a member here, I am glad though that I am a member. When the article was published I received a username and password, so that I could participate in Comments, That would explain me stumbuling upon this post. But we’re certainly all members in the world of ideas.
ventolin 2mg over the counter oral ventolin purchase albuterol
You need to be a part of a tournament first of the most useful blogs on-line. I will suggest this website!
augmentin 1000mg ca purchase augmentin sale
i just thought that queen latifah is one of the best comedians out there, she is really funny“
I would like to point out my gratitude for your kind-heartedness in support of women who actually need help with that situation. Your real commitment to passing the solution all through became pretty insightful and has consistently encouraged professionals like me to realize their objectives. Your new useful tips and hints can mean a lot to me and still more to my peers. Thanks a lot; from all of us.
Music started playing as soon as I opened up this web page, so annoying!
kinoboomhd.com
한 가족을 위한 삼판이 있고, 십여 명이 함께 힘을 합쳐 배를 젓는 것을 합심이라 한다.
baseballoutsider.com
말할 것도없이이 사람은 당연히 Puji Zhenren Yu Daochun입니다.
buy semaglutide for sale cheap rybelsus 14mg buy generic rybelsus
buy deltasone 20mg order prednisone 40mg online cheap deltasone 10mg usa
chasemusik.com
Ouyang Zhi는 여전히 무표정한 얼굴을 가지고 있었고 여전히 예측할 수 없었습니다.
rybelsus price rybelsus 14mg cheap order semaglutide 14 mg for sale
accutane usa accutane ca isotretinoin 10mg pills
Wonderful post was very happy reading the really important information for me thanks, I thought the man in the future. I will surely recommend this article with your friends, family and friends. You are really great so allowing good articles.
Took me time for it to have the ability to understand all of the comments, yet I really appreciated this write-up. This turned out to be Invaluable to my opinion and I am certain that to everyone this commenters below! It’s definitely great each time a particular person are unable to just learn, but additionally interested! I’m certain you needed enjoyment penning this type of write-up.
Excellent! I thank you your contribution to this matter. It has been insightful. my blog: palm reading guide
amruthaborewells.com
하지만 이 문제는… Fang Jifan에게 조언을 구해야 합니다.
I’m impressed, I have to admit. Genuinely rarely will i encounter a blog that’s both educative and entertaining, and without a doubt, you could have hit the nail around the head. Your notion is outstanding; the issue is something which inadequate people are speaking intelligently about. I will be very happy we came across this around my look for some thing in regards to this.
order generic albuterol 2mg best antihistamine for itchy skin purchase ventolin inhaler
buy amoxicillin 500mg pills amoxil 250mg ca amoxil 250mg generic
10yenharwichport.com
그는 Fang Jifan을 분개하게 쳐다 보았고 Fang Jifan은 그것을 보지 않는 척 고개를 숙였습니다.
Metal refuse reclamation Scrap aluminium repurposing technologies Aluminium scrap community engagement
Scrap metal recycle, Recycling regulations for aluminum cable scrap, Metal waste recovery facility
cheap augmentin order amoxiclav without prescription purchase amoxiclav online cheap
Metal waste management and recycling Sustainable aluminum scrap recycling Aluminium scrap recasting
Metal residue utilization, Melting aluminum cable, Metal recycling facility
buy generic azithromycin buy generic azithromycin online buy zithromax online cheap
Metal reclaiming and repurposing facility Aluminium extrusion scrap recycling Scrap aluminium destination tracking
Scrap metal recovery and reclamation, Environmentally friendly aluminum cable recycling, Scrap metal reprocessing and recycling
Scrap metal retrieval services Aluminium waste audit Aluminium recycling business
Scrap metal reclaiming plant, Scrap aluminum cable recycling equipment, Metal scrap reuse
generic synthroid 75mcg cheap synthroid order synthroid 100mcg generic
restaurant-lenvol.net
Fang Jifan, 그 자식… 그는 극도로 인간적인 목사가 될 자격이 있습니다.
reggionotizie.com
Fang Jifan은 유쾌하게 놀랐습니다. 이 황제는 꽤 흥미 롭습니다.
prednisolone 5mg tablet omnacortil cost omnacortil 40mg over the counter
Scrap metal redistribution Aluminum extrusion scrap Aluminum scrap collection points
Metal recycle, Aluminum copper cable scrap, Metal waste logistics
generic neurontin 600mg buy gabapentin 600mg order neurontin without prescription
Hi, I log on to your new stuff like every week. Your writing style
is awesome, keep doing what you’re doing!
restaurant-lenvol.net
Li Yingxing은 손을 내밀었고 만졌을 때 그의 얼굴이 바뀌었습니다.
order viagra 100mg without prescription buy viagra pills cheap generic viagra
Enter a world where every click counts! Lucky Cola
vibra-tabs for sale online vibra-tabs online order oral doxycycline
restaurant-lenvol.net
이 똥 건물은 Liu Zhengjing과 다른 사람들이 후퇴한 건물입니다.
oral levitra 10mg levitra online buy levitra 10mg over the counter
how to buy lyrica lyrica 150mg pills pregabalin usa
Metal recovery yard collection Metal waste management and recycling Iron recovery and salvage
Ferrous material pricing analysis, Iron waste recycling plant, Metal reusing facility
buy hydroxychloroquine 400mg pills plaquenil without prescription cost hydroxychloroquine
aristocort where to buy aristocort pills cheap aristocort 4mg
cialis 20mg usa cialis for daily use generic tadalafil 5mg
chasemusik.com
Wang Jinyuan은 “하지만 젊은 주인님, 이 주식은 가치가 없습니다. “라고 말하지 않을 수 없었습니다.
buy clarinex online buy desloratadine cheap clarinex 5mg price
Thank you pertaining to sharing that excellent written content on your website. I ran into it on google. I am going to check back again once you publish much more aricles.
I believe one of your ads caused my web browser to resize, you may well want to put that on your blacklist.
I really love the way you discuss this kind of topic.”‘*,-
cost cenforce 50mg cenforce 100mg drug cenforce over the counter
Sweet blog! I found it while surfing around on Yahoo News. Do you have any tips on how to get listed in Yahoo News? I’ve been trying for a while but I never seem to get there! Thanks
You produced some decent points there. I looked on the net to the issue and discovered most people goes together with along with your website.
I am curious to find out what blog platform you happen to be utilizing? I’m experiencing some minor security problems with my latest site and I’d like to find something more risk-free. Do you have any solutions?
I like this site very much, Its a really nice situation to read and get info .
Youre so cool! I dont suppose Ive read anything in this way before. So nice to locate somebody by original thoughts on this subject. realy thanks for beginning this up. this fabulous website is one thing that is needed on the internet, a person with a bit of originality. beneficial project for bringing a new challenge towards internet!
generic loratadine purchase loratadine sale claritin 10mg ca
We wish saying thanks to all of you over again for that beautiful tips you supplied Jeremy when contriving a post-graduate investigation plus, most importantly, related to offering the many ideas inside a blog post. When we had known of your web page last year, i’d personally have been saved the needless measures we had been employing. Thanks to you.
Greetings! Quick question that’s completely off topic. Do you know how to make your site mobile friendly? My weblog looks weird when viewing from my iphone. I’m trying to find a template or plugin that might be able to fix this problem. If you have any recommendations, please share. Appreciate it!
You have observed very interesting points ! ps decent web site .
Considerably, the article is really the finest on this worthw hile topic. I concur with your conclusions and also will eagerly look forward to your approaching updates. Saying thanks will certainly not simply just be sufficient, for the exceptional clarity in your writing. I definitely will at once grab your rss feed to stay informed of any kind of updates. Genuine work and much success in your business dealings!
This particular thread may seem to get quite a few page views. Exactly how do you support it? The application provides marvelous uncommon take onto matters. I reckon that going through things tremendous or possibly a lot of furnish home elevators is the main problem.
chutneyb.com
그는 침묵을 지켰고 빠르게 정신을 조정하기 시작했습니다.
Very good blog post! Thought about valued all the looking at. I hope to find out alot more of your stuff. I presume you might fantastic information and furthermore prospect. I am just exceptionally satisfied utilizing this type of critical information.
very good post, i definitely love this website, keep on it
This Just In: LeBron James is dropped from Nike and Picked up by SKETCHERS… new LeBRon James Shape UPs on the way!|tonydavisthedj|
Nice post. I understand something more difficult on different blogs everyday. Most commonly it is stimulating to study content off their writers and use a little something from their site. I’d would rather apply certain with the content on my blog whether you don’t mind. Natually I’ll provide link with your internet weblog. Thank you for sharing.
I’m not sure why but this website is loading incredibly slow for me. Is anyone else having this problem or is it a issue on my end? I’ll check back later on and see if the problem still exists.
I think that may be an enchanting aspect, it made me assume a bit. Thank you for sparking my considering cap. Now and again I get such a lot in a rut that I just feel like a record.
buy generic xenical buy diltiazem 180mg without prescription diltiazem order online
Bookmarked your fantastic website. Fabulous work, unique way with words!
lfchungary.com
이때 공주님은 이미 옷을 입고 일어 서서 연기가 나는 불빛 아래에서 Fang Jifan을 기다리고있었습니다.이때 홍지황제는 피곤한 표정으로 여전히 국정에 바빴을 것이다.
This is the proper weblog for anyone who wishes to find out about this topic. You are aware of a lot its almost tricky to argue together with you (not that I actually would want…HaHa). You definitely put a whole new spin on the topic thats been discussing for several years. Excellent stuff, just fantastic!
An intriguing discussion may be valued at comment. I do think you should write regarding this topic, may well certainly be a taboo subject but usually individuals are too few to speak on such topics. Yet another. Cheers
Fantastic goods from you, man. I’ve understand your stuff previous to and you are just extremely fantastic. I actually like what you have acquired here, certainly like what you are saying and the way in which you say it. You make it enjoyable and you still take care of to keep it wise. I can not wait to read much more from you. This is really a great web site.
where can i buy amlodipine cost amlodipine 5mg amlodipine 10mg brand
buy zovirax 400mg online cheap allopurinol 100mg generic generic allopurinol 100mg
That is some inspirational stuff. Couldn’t know that opinions can be this varied. Thank you for most of the enthusiasm to consider such tips here.
Woah this is just an insane amount of info, must of taken ages to compile so thank you so much for just sharing it with all of us. If your ever in any need of related information, perhaps a bit of coaching, seduction techniques or just general tips, just check out my own site!
sm-slot.com
그러나 다락방도 매우 걱정스럽습니다. 왜냐하면 신은 그것이 무너질지…알기 때문입니다.
what i like about cable internet is that it is almost immune to electrical noise which always degrades DSL lines.
I discovered your blog site internet site on the internet and appearance many of your early posts. Keep in the really good operate. I just now extra up your Feed to my MSN News Reader. Looking for toward reading more of your stuff down the line!…
There are very a lot of details prefer that to consider. This is a wonderful denote start up. I supply the thoughts above as general inspiration but clearly there are actually questions just like the one you raise up in which the most essential factor will probably be doing work in honest excellent faith. I don?t determine if best practices have emerged about such thinggs as that, but Almost certainly that your chosen job is clearly referred to as a good game. Both children glance at the impact of merely a moment’s pleasure, through out their lives.
Would love to perpetually get updated outstanding website ! .
rosuvastatin 20mg us purchase ezetimibe without prescription zetia order online
I am now not sure where you’re getting your info, however great topic. I needs to spend a while learning more or figuring out more. Thanks for great info I used to be in search of this information for my mission.
smcasino-game.com
물론 Zhu Houzhao와 같은 제자를 가르칠 수 있다는 것은 상상할 수 있습니다.
pragmatic-ko.com
그렇게 작은 요청으로 밝혀진 Fang Jifan은 안도의 한숨을 쉬며 “가라”라고 말했습니다.
omeprazole pills buy prilosec oral omeprazole 10mg
domperidone pills buy tetracycline for sale order sumycin 250mg online cheap
Youre so cool! I dont suppose Ive read anything this way before. So nice to find somebody by incorporating original thoughts on this subject. realy appreciation for starting this up. this fabulous website is something that is required on the net, somebody if we do originality. beneficial work for bringing something new towards the world wide web!
sm-casino1.com
“음… 알아요…” Xu Jing이 떨렸습니다. “알아요!”
lfchungary.com
Liu Jie는 깜짝 놀랐고 이유를 이해하지 못했지만 재빨리 무릎을 꿇었습니다. “아버지 …”
why cant i see the frq answers
order lopressor 50mg for sale buy cheap generic metoprolol metoprolol where to buy
Have you already setup a fan page on Facebook ?”~`.~
I have not checked in here for some time because I thought it was getting boring, but the last few posts are good quality so I guess I will add you back to my everyday bloglist. You deserve it my friend 🙂
Really interesting and special post. I like things such as making more homework, developing writing skills, and also related things. These kinds of secrets help in being a qualified person on this topic. This page is very helpful to myself because people like you committed time to learning. Regularity is the key. But it is not too easy, as has been designed to be. I am not an expert like you and plenty of times I feel really giving it up.
I’m a little afraid to say an opinion that’s against the norm, I don’t want to get bashed.
order generic toradol cheap toradol 10mg colchicine 0.5mg tablet
I would like to consider the ability of thanking you for that professional guidance I have often enjoyed checking out your site. I’m looking forward to the particular commencement of my college research and the entire prep would never have been complete without dropping by your site. If I may be of any assistance to others, I’d personally be glad to help as a result of what I have gained from here.
buy atenolol generic atenolol 100mg generic order tenormin online
You are so cool man, the post on your blogs are super great.:.,-;
lfchungary.com
여기 조용히 앉아 있던 몇몇 사람들이 갑자기… 눈구멍이 촉촉해졌다.
There may be noticeably a bundle to find out about this. I assume you made certain nice points in features also.
smcasino7.com
Chen Tianjin은 화가 나서 눈을 크게 뜨고 갑자기 일어나 즉시 떠나고 싶었습니다.
Well, that is most certainly good, however think about the additional options we now have here? Would you brain creating another post regarding these too? Respect!
I just couldn’t depart your web site before suggesting that I really loved the usual info an individual provide in your visitors? Is going to be back incessantly in order to check out new posts
madridnortehoy.com
돈이 있으면 가족을 부양할 수 있고 마음에 확신을 갖게 될 것입니다.첸라 왕국을 예로 들면 후속 조치가 훨씬 쉬워질 것입니다.
lfchungary.com
Tang Yin의 먼지 투성이 모습을보고 여기로 달려 왔을 것입니다.
Hello, every time i used to check weblog posts here in the early hours in the daylight,
since i like to find out more and more.
Incredibly easily, the article is in reality the sweetest on this laudable topic. I agree with your conclusions and definitely will eagerly look forward to your approaching updates. Simply just saying thanks definitely will not simply be sufficient, for the enormous lucidity in your writing. I can promptly grab your rss feed to stay privy of any kind of updates. Nice work and also much success in your business efforts!
Metal recovery yard services Ferrous material outreach Iron scrap preparation
Ferrous material yard security, Iron scrap reclaiming solutions, Scrap metal reclamation and recovery yard
lfchungary.com
이는 황제의 기질과도 관련이 있을 뿐만 아니라 황제 폐하의 눈과도 관련이 있다.
sm-casino1.com
Hongzhi 황제는 갑자기 친숙한 느낌을 받았고 그의 마음은 … 절망적이었습니다.
mersingtourism.com
Xiao Jing은 꿈을 꾸는 것 같았고 얼굴을 곧게 펴고 진지하게 말했습니다.
Metal recovery solutions Ferrous metal scrapyard Iron waste reclaiming and reprocessing
Ferrous metal scrapyard, Scrap iron reclaiming services, Scrap metal recovery and salvage
I cherished as much as you will receive performed proper here. The caricature is attractive, your authored material stylish. nonetheless, you command get got an edginess over that you would like be handing over the following. sick definitely come further formerly once more as precisely the similar nearly a lot frequently inside of case you defend this hike.
yangsfitness.com
글쎄, Hongzhi 황제는 그가 매우 현실적일 때 얼굴이 붉어졌습니다.
I love your blog.. very nice colors & theme. Did you make this website yourself or did you hire someone to do it for you? Plz respond as I’m looking to construct my own blog and would like to find out where u got this from. thanks
sm-online-game.com
그런데 아버지의 유골을 어떻게 찾았는지 정말 모르십니까?
Scrap metal reusability Ferrous material recycling advocacy Iron scrap trade regulations
Ferrous material market forecasting, Iron reclamation yard, Scrap metal value evaluation
Lovely just what I was searching for.Thanks to the author for taking his time on this one.
mega-slot77.com
Fang Jifan은 “일어나 할 말이 있습니다. 병사 모집부터 시작하세요. “라고 말했습니다.
sm-slot.com
Zhang Yanling은 눈을 깜박였습니다. 이것은 환상입니다. 환상일 것입니다.
Scrap metal reduction Ferrous material recycling partnerships Scrap iron disposal
Ferrous scrap pricing, Iron scrap pricing, Scrap metal inventory services
thank you for your informations , i like the website very much
Hello, i read your blog from time to time and i own a similar one and i was just wondering if you get a lot of spam responses? If so how do you protect against it, any plugin or anything you can advise? I get so much lately it’s driving me crazy so any help is very much appreciated.
crazyslot1.com
뜻밖에도… 이 대규모 반란은 학교 관계자에 의해 진압되었습니다.
I have been searching for this information for quite some times. About three hours of online searching, at last I found it in your blog. I wonder why Yahoo dont display this kind of good websites in the first page. Usually the top search engine results are full of rubbish. Perhaps its time to use another search engine.
ttbslot.com
“폐하…폐하…폐하, 저는 잘못을 저질렀습니다.” 울부짖는 것은 안시의 왕자 주뱌오였다.
What’s Going down i’m new to this, I stumbled upon this I have discovered It positively useful and it has aided me out loads. I’m hoping to give a contribution & help different users like its aided me. Good job.
I am extremely impressed along with your writing talents as smartly with the structure for your blog. Is this a paid topic or did you modify it yourself? Either way stay up the excellent quality writing, it is rare to peer a nice blog like this one nowadays..
The when I read a blog, I hope so it doesnt disappoint me approximately that one. I mean, Yes, it was my option to read, but When i thought youd have some thing interesting to state. All I hear is often a lot of whining about something you could fix if you ever werent too busy in search of attention.
Considerably, the particular post is truly the greatest with this deserving subject. To be sure together with your results and also can easily thirstily look forward to Your own potential improvements. Simply just declaring thank you will, no doubt not simply just be sufficient, for your wonderful quality within your writing. I will immediately grab your rss to remain up to date with any kind of updates. Real perform as well as much success inside your company dealings!
I should test with you here. Which isn’t something I normally do! I enjoy reading a put up that may make people think. Also, thanks for permitting me to remark!
I seem to recall that by Star Trek: Next Generation, the Romulans had become a group of worthy adversaries to the denizens of the Federation.
Your blog has the same post as another author but i like your better.~:’*:
qiyezp.com
그의 탁월함은 후세의 무수한 사람들을 압도하기에 충분하다.
sandyterrace.com
“그런데.” Fang Jifan은 갑자기 “이 사람은 언제 베이징으로 돌아올까요? “라고 생각했습니다.”그렇습니다.” Ran Duolou는 무언가를 기억했습니다. “지난 며칠 동안 수도의 모든 것이 상승했습니다 …”
Youre so cool! I dont suppose Ive read anything such as this prior to. So nice to uncover somebody by incorporating original ideas on this subject. realy appreciation for beginning this up. this website is one area that is required on the web, a person if we do originality. beneficial task for bringing something totally new towards the world wide web!
fpparisshop.com
このブログは本当に役立つ情報が満載で、大好きです。
Your article helped me a lot, is there any more related content? Thanks!
freeflowincome.com
Zhu Houzhao는 “그럼 큰 소리로 말하십시오. 무엇을 알고 있습니까?”
donmhomes.com
このトピックに対する新しい見方をありがとうございます。
desogestrel sans prescription en ligne desogestrel sur ordonnance prix à Bruxelles
mircette sans attente en ligne
desogestrel avec ou sans ordonnance
vente en ligne de desogestrel en France desogestrel
à vendre en ligne en France sans ordonnance
mircette pour une livraison rapide en Suisse
mircette disponible en Espagne mircette : conseils pour un usage sûr et efficace
Achat de mircette pour les voyages à risque
Commandez votre desogestrel en ligne en toute discrétion
Acheter mircette en toute confiance Acheter desogestrel en ligne sans
arnaque : conseils pratiques
achat de desogestrel en ligne sans ordonnance
mircette à vendre sur internet Acheter desogestrel de qualité supérieure Belgique
obtenir du mircette sans ordonnance en Suisse desogestrel à
prix compétitif en France
mircette sans ordonnance prix élevé France
acheter desogestrel sans ordonnance nécessaire
desogestrel pour un soulagement rapide des symptômes
Options de paiement sécurisées pour commander desogestrel en Suisse desogestrel sans compromis sur la
qualité
Acheter de la desogestrel en ligne : Conseils pratiques mircette disponible
sans tracas
Obtenez votre mircette en quelques jours desogestrel sans prescription : où trouver
des conseils médicaux ?
desogestrel : comment choisir la bonne pharmacie en ligne mircette :
guide d’utilisation pour les patients en ligne
mircette de qualité en vente en ligne au Luxembourg
Acheter de la desogestrel en ligne en quelques clics au Luxembourg
mircette authentique livrée chez vous où acheter du desogestrel sans ordonnance en France
Acheter desogestrel sans ordonnance rapidement mircette en ligne :
mythes et réalités
desogestrel disponible sans prescription Suisse Achetez desogestrel en ligne en toute confidentialité
ou trouver desogestrel à Tunis
desogestrel disponible à l’achat sans prescription desogestrel générique en ligne :
efficace et abordable
This will be a great web site, will you be involved in doing an interview regarding how you developed it? If so e-mail me!
etsyweddingteam.com
実用性の高い情報で満足です。これからも期待しています。
I wanted to tell you how much I actually appreciate every little thing you’ve discussed to help increase the value of the lives of an individual in this theme. Through your own articles, we have gone through just a beginner to a specialist in the area. It is truly a homage to your endeavours. Thanks
Intimately, the post is in reality the greatest on that worthy topic. I fit in with your conclusions and can thirstily look forward to your forthcoming updates. Saying thanks will not simply just be enough, for the perfect lucidity in your writing. I will certainly perfect away grab your rss feed to stay privy of any updates. Authentic work and much success in your business endeavors!
I am happy that I noticed this weblog , exactly the right info that I was searching for! .
etsyweddingteam.com
このブログを読むたびに、何か新しいことを学べます。感謝しています。
Good blog! I truly love how it is simple on my eyes and the data are well written. I’m wondering how I might be notified whenever a new post has been made. I’ve subscribed to your RSS feed which must do the trick! Have a great day!
Exceptional short article! I¡¯ll rss rectify these days wth excellent feedreader application!¡
I believe that may be a captivating element, it made me think a bit. Thanks for sparking my pondering cap. Now and again I get so much in a rut that I simply really feel like a record.
Join the ranks of the elite and conquer the casino with style. Hawkplay
usareallservice.com
素晴らしい記事でした!新しい知識をたくさん得られました。
Very informative and excellent bodily structure of content material , now that’s user friendly (:.
Oh my goodness! an excellent article dude. Thank you Nonetheless I will be experiencing trouble with ur rss . Don’t know why Struggling to sign up to it. Perhaps there is any person finding identical rss difficulty? Anyone who knows kindly respond. Thnkx
usareallservice.com
この記事は実に役に立ちます。大変感謝しています。
I have been examinating out many of your articles and i must say pretty nice stuff. I will definitely bookmark your blog.
Please let me know if you’re looking for a article author for your site. You have some really great articles and I believe I would be a good asset. If you ever want to take some of the load off, I’d absolutely love to write some content for your blog in exchange for a link back to mine. Please blast me an e-mail if interested. Regards!
donmhomes.com
とても興味深い記事でした。これからも楽しみにしています。
nikontinoll.com
경미한 질병은 당연히 의료원으로 가지만 중병은 의대에 보내야 한다.
There are very many details this way to consider. This is a great point to raise up. I provide thoughts above as general inspiration but clearly you’ll find questions just like the one you retrieve where the most essential thing is going to be doing work in honest great faith. I don?t know if best practices have emerged about such thinggs as that, but Almost certainly that the job is clearly recognized as an affordable game. Both kids notice the impact of only a moment’s pleasure, throughout their lives.
Pretty! This was a really wonderful post. Thank you for your provided information. cool desktop
I discovered your blog web site on google and test just a few of your early posts. Continue to maintain up the excellent operate. I simply extra up your RSS feed to my MSN News Reader. In search of forward to reading more from you in a while!…
Hello! I’ve been reading your blog for a while now and finally got the bravery to go ahead and give you a shout out from Dallas Texas! Just wanted to tell you keep up the good work!
Absolutely pent articles, Really enjoyed studying.
ilogidis.com
Xiao Jing은 “예, 예, 하인이 알고 있습니다. “라고 서둘러 말했습니다.
donmhomes.com
素晴らしい洞察力と情報の提供、本当にありがとうございます。
definitely an interesting read. i usually dont comment. signed Dr Davids
Hello, i think that i saw you visited my blog thus i came to “return the favor”.I’m trying to find things to improve my website!I suppose its ok to use a few of your ideas!!
The the next time I just read a weblog, I hope that this doesnt disappoint me up to this. I mean, I know it was my replacement for read, but I really thought youd have something interesting to talk about. All I hear can be a number of whining about something you could fix if you werent too busy interested in attention.