4. Set up the integral(s) necessary to find the volume of each solid described. You do not need to evaluate the integrals. (a) The base of the solid is a triangle with vertices (0,0), (6,0) and (2,5). The cross sections perpendicular to the x-axis are squares. (b) The region bounded by the graphs of y =ln x, y = 2 and x = 3 is revolved about the line x = -1. i. Use washers. ii. Use cylindrical shells.
4. Set up the integral(s) necessary to find the volume of each solid described. You do not need to evaluate the integrals. (a) The base of the solid is a triangle with vertices (0,0), (6,0) and (2,5). The cross sections perpendicular to the x-axis are squares. (b) The region bounded by the graphs of y =ln x, y = 2 and x = 3 is revolved about the line x = -1. i. Use washers. ii. Use cylindrical shells.
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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