4. Let R be the region enclosed by the curves y = ln x and y=x-2. a) Find the area of R.

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...
Question
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.
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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