Question: Please answer each question per the instructions thoroughly, I will be using this as a guide. Thank you! Volumes with Washers Use the washer method







Please answer each question per the instructions thoroughly, I will be using this as a guide. Thank you!







Volumes with Washers Use the washer method to determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis. You must show the work of the integral set up. Feel free to include your graphs as well. 1. Rotate the region bounded by y = 2x2, y = 8 and the y axis about the x axis. 2. Rotate the region bounded by y = 2x2, 9:: = 2 and the x axis about the y axis. 3 3. Rotate the region bounded by y = x , x = 8, y = 5, and the x axis about the y axis. 4. Show your integral set up and use your calculator to find the volume of the solid obtain by rotating the region bounded by: y = 2x2, y = 8, and they axis _ b. about the line y = 10 a. about the line x = -3 5. Show your integral set up and use your calculator to nd the volume of the solid obtain by rotating the region bounded by: x=2y23andx=5 0:. about the line x = 4 b. about the line x = 2 6. Show your integral set up and use your calculator to nd the volume of the solid obtain by rotating the region bounded by: 1 y=4+32'x,y=2,x=,andx=3 a. about the line y = 1 b. about the liney = 3
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