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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