Question

A) Find the exact length of the curve. x = 8 + 6t2, y = 2 + 4t3, 0 ≤ t ≤ 1

B) Consider the parametric equations below.

x = sin²(t), y = sin(2t), 0 ≤ t ≤ π/2

Set up an integral that represents the area of the surface obtained by rotating the given curve about the y-axis.