Write the following assignment in Matlab or Maple please

Use

T(final) = 6

x(t)	y(t)	z(t)
6*t*sin(3*t)	5*t + 27*t^3	6*t*cos(3*t)

INSTRUCTIONS For this assignment, you will be given individualized data from your instructor. This will be a curve ri(t) in three-dimensions, given as (t), y(t), 2(t)) and a end time T final. Use Maple, Matlab, or Mathematica to - Draw and visualize a curve in three-dimensions, compute the length of this curve from t = 0 to t = Tfinal, and animate a point moving along the curve, - Find an arc-length parametrization for the curve, and - Animate the curve with this new parametrization and see how the point moves around the curve. Your code should consist of the following: - Storing the curve ri(t) and the final time Tfinal. - Two plots of the curve Fi(t) showing the curve from different angles. - Code for an animation of a point moving around the curve at evenly spaced t values. You can comment this out when you go to print your final document, as printing an animation won't work out very well. - Compute the length of this curve. In words/equations, answer the following questions: * If I were to give you two values t = a and t = b, what would the length of the curve i be between these points? * How would you find a unit tangent vector to the curve (t)? - Compute the function g(s) that is needed to find an arc-length parametrization of this curve, following all of the standard steps for doing this. - Find a formula (using the computer) for an arc-length parametrization r2(8). Define and store this function r2(s). What are the bounds on s? - Draw a plot of the curve 12(s) (it might look familiar), and write code to animate a point moving around this curve at evenly spaced s values. - Find the length of this curve. Hint: This should match your answer from earlier. - In words/equations, answer the following questions: * If I were to give you two values s = a and s = b, how would you compute the length of the curve 72 be between these points? * How would you find a unit tangent vector to the curve 72(8)? * What do you notice about the animations for r and rz? What is the difference between them? INSTRUCTIONS For this assignment, you will be given individualized data from your instructor. This will be a curve ri(t) in three-dimensions, given as (t), y(t), 2(t)) and a end time T final. Use Maple, Matlab, or Mathematica to - Draw and visualize a curve in three-dimensions, compute the length of this curve from t = 0 to t = Tfinal, and animate a point moving along the curve, - Find an arc-length parametrization for the curve, and - Animate the curve with this new parametrization and see how the point moves around the curve. Your code should consist of the following: - Storing the curve ri(t) and the final time Tfinal. - Two plots of the curve Fi(t) showing the curve from different angles. - Code for an animation of a point moving around the curve at evenly spaced t values. You can comment this out when you go to print your final document, as printing an animation won't work out very well. - Compute the length of this curve. In words/equations, answer the following questions: * If I were to give you two values t = a and t = b, what would the length of the curve i be between these points? * How would you find a unit tangent vector to the curve (t)? - Compute the function g(s) that is needed to find an arc-length parametrization of this curve, following all of the standard steps for doing this. - Find a formula (using the computer) for an arc-length parametrization r2(8). Define and store this function r2(s). What are the bounds on s? - Draw a plot of the curve 12(s) (it might look familiar), and write code to animate a point moving around this curve at evenly spaced s values. - Find the length of this curve. Hint: This should match your answer from earlier. - In words/equations, answer the following questions: * If I were to give you two values s = a and s = b, how would you compute the length of the curve 72 be between these points? * How would you find a unit tangent vector to the curve 72(8)? * What do you notice about the animations for r and rz? What is the difference between them