Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the solid generated when the region Rinthe first quadrant bounded by the graphs of y = V36 – x², y = 0, and x = Ois revolved about (a) the linex = 6 and (b) the liney = -6.(a)V =- x)V36 – x² dxOvs- x)(36 – x²) dxV =2a(6 + x)V36 – x dxV =a(6 - x)V36 – x áx(b)36V =a(6 + y)V36 - y dy2x(6 + y)/36 – y dyOvs2a(6 -– y)(36 – y²) cy362a(6 + y)/36 -y² cyOvs

Answered: Image /qna-images/answer/5827701b-ded3-49ce-b189-a1d4ff579c06.jpg

Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the solid generated when the region Rin the first quadrant bounded by the graphs of y = V36 – x², y = 0, and x = 0 is revolved about (a) the linex = 6 and (b) the line y = -6. (a) V = - xV36 – x² áx 2a(6 – x)(36 – x²) cx 20(6 + x)V36 – x² dx °v= [° a(6 – x)V/36 – x² dx (b) R(6 + y)/36 - y dy Ovs 2x(6 + y)\/36 - y? dy Ov = [ 2x(6 - y)(36 – y²) dy Ov 2a(6 + y)/36 = y² dy

Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the solid generated when the region Rin the first quadrant bounded by the graphs of y = V36 – x², y = 0, and x = 0 is revolved about (a) the linex = 6 and (b) the line y = -6. (a) V = - xV36 – x² áx 2a(6 – x)(36 – x²) cx 20(6 + x)V36 – x² dx °v= [° a(6 – x)V/36 – x² dx (b) R(6 + y)/36 - y dy Ovs 2x(6 + y)\/36 - y? dy Ov = [ 2x(6 - y)(36 – y²) dy Ov 2a(6 + y)/36 = y² dy

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...

See similar textbooks