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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![4. Let R be the region enclosed by the curves y =lnx and y=x-2.
a) Find the area of R.
b) Find the volume when R is revolved about the line y = -3.
c) Setup, but do not evaluate an integral to find the Surface Area when R is revolved about the line y = -3.
d) Setup, but do not evaluate an integral to find the volume when R is revolved about the y-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d55238b-ecdc-4753-8fae-8d4dc6ec6958%2F1e0132a3-d658-4c45-aa45-188986a4739f%2Fb49wn32_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let R be the region enclosed by the curves y =lnx and y=x-2.
a) Find the area of R.
b) Find the volume when R is revolved about the line y = -3.
c) Setup, but do not evaluate an integral to find the Surface Area when R is revolved about the line y = -3.
d) Setup, but do not evaluate an integral to find the volume when R is revolved about the y-axis.
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