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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Part B

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 = In x, y = 2 and x =
3 is revolved about the line x = -1.
i. Use washers.
ii. Use cylindrical shells.
Transcribed Image Text: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 = In x, y = 2 and x = 3 is revolved about the line x = -1. i. Use washers. ii. Use cylindrical shells.
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