Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please answer the question with steps and correct answers. 

5. Consider the region (shown below) bound by y = x³, y = 2-2, and the z-axis. IX a) Setup an integral that gives the volume generated by rotating this region about the z-axis. b) Setup an integral that gives the volume generated by rotating this region about the y-axis. c) Setup an integral that gives the volume generated by rotating this region about the line y = 3. d) Setup an integral that gives the volume generated by rotating this region about the line x = -2. Hint: Note that will need to use two integrals if you use a dz bor. Don't be afraid of the dy boz!
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Transcribed Image Text:5. Consider the region (shown below) bound by y = x³, y = 2-2, and the z-axis. IX a) Setup an integral that gives the volume generated by rotating this region about the z-axis. b) Setup an integral that gives the volume generated by rotating this region about the y-axis. c) Setup an integral that gives the volume generated by rotating this region about the line y = 3. d) Setup an integral that gives the volume generated by rotating this region about the line x = -2. Hint: Note that will need to use two integrals if you use a dz bor. Don't be afraid of the dy boz!
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