2. (30+ points) Consider the parametric equations r = cost, y = 4 sint. (a.) (5 pts.) Sketch the corresponding parametri
Posted: Wed May 11, 2022 9:27 pm
2. (30+ points) Consider the parametric equations r = cost, y = 4 sint. (a.) (5 pts.) Sketch the corresponding parametric curve including the direction.
(6.) (5 pts.) Ift € (0.17], how many times do we go along the curve? (c.) (10 pts.) Find another parameterization for the parametric curve. (d.) (5 pts.) Find a parameter interval corresponding to the parametrization above that covers the whole parametric curve twice. 12 (c.) (5 pts.) Find an equation for the line tangent to the parametric curve at the point where t = using what we learned in class. You may use a parametrization of your choice. by (f.) (10 pts.) Compute the lenght of the parametric curve by using anything you are familiar with. You may use a parametrization of your choice.
(6.) (5 pts.) Ift € (0.17], how many times do we go along the curve? (c.) (10 pts.) Find another parameterization for the parametric curve. (d.) (5 pts.) Find a parameter interval corresponding to the parametrization above that covers the whole parametric curve twice. 12 (c.) (5 pts.) Find an equation for the line tangent to the parametric curve at the point where t = using what we learned in class. You may use a parametrization of your choice. by (f.) (10 pts.) Compute the lenght of the parametric curve by using anything you are familiar with. You may use a parametrization of your choice.