Consider the following parametric curve: x = 5 cos(3t) y = 5 sin(3t) where 0 t....

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Consider the following parametric curve: x = 5 cos(3t) y = 5 sin(3t) where 0 t. Find the arc length of this curve. Show all details of algebra/trig and computation of the integral. 2.) (3 pts) Consider the curve whose parametric equations are x = cost+t(sin t) y = sint t(cost) where 0 t 1. Find the arc length of this curve. Show all details of algebra/trig and computation of the integral. (Note: You will need the product rule for derivatives. Simplify da/dt and dy/dt before you insert them into the arclength formula. If your algebra correctly, you should end up with a very simple integral.) 3.) (3 pts) Consider the curve whose parametric equations are x = arcsin t y = ln (1-1), where 0 t Consider the following parametric curve: x = 5 cos(3t) y = 5 sin(3t) where 0 t. Find the arc length of this curve. Show all details of algebra/trig and computation of the integral. 2.) (3 pts) Consider the curve whose parametric equations are x = cost+t(sin t) y = sint t(cost) where 0 t 1. Find the arc length of this curve. Show all details of algebra/trig and computation of the integral. (Note: You will need the product rule for derivatives. Simplify da/dt and dy/dt before you insert them into the arclength formula. If your algebra correctly, you should end up with a very simple integral.) 3.) (3 pts) Consider the curve whose parametric equations are x = arcsin t y = ln (1-1), where 0 t

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