. Calculate the volumes of the solids of revolution as indicated below. Calculate the volume both with the shell method and with the disk or washer method and verify that the volume is the same in each case. a. y=2x², y=0, x=2 Revolved around the: i. y-axis iii. x-axis ii. the line y = 8 iv. the line x = 2 10 b. y=y=0, x= 1,x=5 Revolved around: i. iii. x-axis y-axis y = 10 ii. iv. x = 5 c. y = e x, y = 1, x = 2 Revolved around: i. iii. y = 0 y-axis x-axis ii. iv. x = 3 d. x=y², x = 1 - y² Revolved around: i. y = 1 ii. x = 3 e. y = x³, y = 0, x = 1 Revolved around: i. iii. x = 1 ii. iv. y = 1 y-axis x-axis

. Calculate the volumes of the solids of revolution as indicated below. Calculate the volume both with the shell method and with the disk or washer method and verify that the volume is the same in each case. a. y=2x², y=0, x=2 Revolved around the: i. y-axis iii. x-axis ii. the line y = 8 iv. the line x = 2 10 b. y=y=0, x= 1,x=5 Revolved around: i. iii. x-axis y-axis y = 10 ii. iv. x = 5 c. y = e x, y = 1, x = 2 Revolved around: i. iii. y = 0 y-axis x-axis ii. iv. x = 3 d. x=y², x = 1 - y² Revolved around: i. y = 1 ii. x = 3 e. y = x³, y = 0, x = 1 Revolved around: i. iii. x = 1 ii. iv. y = 1 y-axis x-axis

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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