. Let M be the region the region bounded by y=x, x=3, and y=0. (a) Find the perimeter of M. (b) Find b such that the line y=b divides M into two regions of equal area. (c) There exists a value k (where k>9), such that when the region M is revolved about the line y=k , the volume of the resulting solid is equal to 600 cubic units . Set up, but do not solve an equation (with an integral expression) that can be used to find the value of k .

. Let M be the region the region bounded by y=x, x=3, and y=0. (a) Find the perimeter of M. (b) Find b such that the line y=b divides M into two regions of equal area. (c) There exists a value k (where k>9), such that when the region M is revolved about the line y=k , the volume of the resulting solid is equal to 600 cubic units . Set up, but do not solve an equation (with an integral expression) that can be used to find the value of k .

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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