Answer all parts please. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4.y = 10x4,y = 0,X = 1Rotating a vertical strip around x = 4 creates a cylinder with radius r =and height h =hy0Now we can say that the volume of the solid created by rotating the region under y = 10x and above the x-axis between x = 0 and x = 1 around x = 4 isV =2ærh dx2x(40x* – 10x³)dx. So, the volume of our solid is 27This simplifies to 27

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 10x4, y = 0, x = 1 Rotating a vertical strip around x = 4 creates a cylinder with radius r = and height h = y0 Now we can say that the volume of the solid created by rotating the region under y = 10x and above the x-axis between x = 0 and x = 1 around x = 4 is V = 2ærh dx %3D This simplifies to 2z So, the volume of our solid is 2x

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 4. y = 10x4, y = 0, x = 1 Rotating a vertical strip around x = 4 creates a cylinder with radius r = and height h = y0 Now we can say that the volume of the solid created by rotating the region under y = 10x and above the x-axis between x = 0 and x = 1 around x = 4 is V = 2ærh dx %3D This simplifies to 2z So, the volume of our solid is 2x

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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