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This quiz will be graded both on the correctness and your writing skills: organization, neatness and coherence of your work. Include sketches of the regions
This quiz will be graded both on the correctness and your writing skills: organization, neatness and coherence of your work. Include sketches of the regions and volumes to the best of your ability. Box or circle your final answer. 1. (4 points for correctness, 2 points for writing) Find the volume obtained by rotating about the y-axis the region bounded by y = va, the line a = 4 and the r-axis. Use cylindrical shells. 2. (2 points for correctness, 2 points for writing) Set up, but do not evaluate, an integral to compute the volume of the solid obtained by rotating the region bounded by y = va, the line x = 4, and the r-axis about the axis x = 5. Use the washer method. (Note: this is the same region as the previous problem, but with a different axis of rotation.)
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