The figure shows the curves of the equations: y = 2x², y = 4x - 2, and y = 8. Find the volume of the solid obtained by rotating the region bounded by the three curves about the y-axis. (Just express it as an integral formula, and its value does not to be calculated.) (a) Use the method of washers (b) Use the method of cylindrical shells (Hint: You need divide the region into two parts first.)

The figure shows the curves of the equations: y = 2x², y = 4x - 2, and y = 8. Find the volume of the solid obtained by rotating the region bounded by the three curves about the y-axis. (Just express it as an integral formula, and its value does not to be calculated.) (a) Use the method of washers (b) Use the method of cylindrical shells (Hint: You need divide the region into two parts first.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...

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