1. Consider the region bounded by y = e-* + 1, y = 2 and x = 3. a. Sketch the region. Do not forget to label all the points of intersection. b. Sketch the solid obtained when the region is rotated about the y = 3. Then, setup the integral that gives the volume of the solid using the indicated method. i. using disk/washer method ii. using cylindrical shell method

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...
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1.
Consider the region bounded by y = ex + 1, y = 2 and x = 3.
a. Sketch the region. Do not forget to label all the points of intersection.
b. Sketch the solid obtained when the region is rotated about the y = 3. Then, setup
the integral that gives the volume of the solid using the indicated method.
i. using disk/washer method
ii. using cylindrical shell method
Transcribed Image Text:1. Consider the region bounded by y = ex + 1, y = 2 and x = 3. a. Sketch the region. Do not forget to label all the points of intersection. b. Sketch the solid obtained when the region is rotated about the y = 3. Then, setup the integral that gives the volume of the solid using the indicated method. i. using disk/washer method ii. using cylindrical shell method
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