NAME:
MATH 152
March 10, 2016
QUIZ 6
• Show all your work and indicate your final answer clearly. You will be graded not merely
on the final answer, but also on the work leading up to it.
• You may not use your class notes, calculator, cell phone, or any other electronic devices.
1. (6 points) The curve y = x3 is rotated about the x-axis for 1 ≤ x ≤ 2. Find the area of the
resulting surface.
2. (6 points) Set up, but do not evaluate, the length of the curve x = cos(t2 ), y = sin2 (t),
0 ≤ t ≤ 1.
NAME:
MATH 152
3. (6 points) Evaluate the length of the curve x = ey/2 + e−y/2 for 0 ≤ y ≤ 2.
March 10, 2016