Math 152–Spring 2016
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Quiz 6
Sections 9.3, 9.4
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. The curve y = x3 is rotated about the x−axis for 1 ≤ x ≤ 2. Find the area of the resulting surface.
2. Set up, but do not evaluate, the length of the curve x = cos(t2 ), y = sin2 t, 0 ≤ t ≤ 1.
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Math 152–Spring 2016
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3. Evaluate the length of the curve x = ey/2 + e−y/2 for 0 ≤ y ≤ 2.
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