If R is the region bounded by the curves, y = e -x and y = 4 where − ln 4≤x≤0 Write the equation of the surface area of the solid obtained by rotating the region R about the y- axis . Do not evaluate the integral, use exact values and show all your workings.

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
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
Question

If R is the region bounded by the curves, y = e -x and y = 4 where
− ln 4≤x≤0 

Write the equation of the surface area of the solid obtained by rotating the region R about the y- axis . Do not evaluate the integral, use exact values and show all your workings.


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