Math 152–Spring 2016
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Quiz 2
Sections 7.1, 7.2
Directions: You may not use your class notes, calculator, cell phone or any other electronic devices. You
must show all your work to receive credit. Your grade will be determined not only by your final answer, but
also the correctness of your work. Each problem is worth 6 points, and there are 2 free points for taking the
quiz.
Section Number:
Name:
1. Find the area of the region bounded by the curves y = −x2 + 3x, y = x, and x = 3.
2. Find the area of the region bounded by the curves y 2 + x = 0, y 2 − x = 0, and y − 2 = 0.
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Math 152–Spring 2016
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3. 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.)
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