Determine the volume generated by rotating the region bounded by the curves given below about the given axis. Use the indicated method in each part. Clearly state the integral(s) used to calculate the volume, and draw a sketch of the equations and the region to be rotated. The integrals can be evaluated by hand or by calculator. You may state answers as either exact values or decimals rounded to two decimal places. a) y = 4x – x2 and y = O rotated about the x-axis using disks

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Determine the volume generated by rotating the region bounded by the curves given
below about the given axis. Use the indicated method in each part. Clearly state the
integral(s) used to calculate the volume, and draw a sketch of the equations and the
region to be rotated. The integrals can be evaluated by hand or by calculator. You
may state answers as either exact values or decimals rounded to two decimal
places.
a) y = 4x – x² and y = 0 rotated about the x-axis using disks
Transcribed Image Text:Determine the volume generated by rotating the region bounded by the curves given below about the given axis. Use the indicated method in each part. Clearly state the integral(s) used to calculate the volume, and draw a sketch of the equations and the region to be rotated. The integrals can be evaluated by hand or by calculator. You may state answers as either exact values or decimals rounded to two decimal places. a) y = 4x – x² and y = 0 rotated about the x-axis using disks
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