Question

1. Graph the curve and find its length. x = etcos(t) y = etsin(t) 0 ≤ t ≤ 3π

2.

x = 5(sin(t))²
y = 5(cos(t))²
0 ≤ t ≤ 4π

(a) Find the distance traveled by a particle with position (x, y) as t varies in the given time interval.

(b) What is the length of the curve?