NAME:
MATH 152
February 4, 2016
QUIZ 2
• 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) Find the area of the region bounded by the curves y = −x2 + 3x, y = x, and
x = 3.
2. (6 points) Find the area of the region bounded by the curves y 2 + x = 0, y 2 − x = 0, and
y − 2 = 0.
NAME:
MATH 152
February 4, 2016
3. (6 points) Sketch the region bounded by the curves y = −x2 + 4 and y = 2 − x. Then set
up the integral that will give the volume of the solid obtained by rotating the region about
y = −2. (Do not evaluate the integral.)