18) Let n be the region in the xy-plane bounded by the curves Y=8xx² and y=x². Set up, but do not evaluate, anintegral that calculats the volume of the solid obtained by rotating the region of R by X-axis. A)v= Tr S L(x²)?-(8x-x`)²] dx 6)レ- S:てX-x)-x]dk c)v= 2T S%x [x²-(8x-x)dk 2)v= T Sö [(8xx)² - Cx-)^]dx E)V-2TS×[C8x-x)-x2コ

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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18) Let n be the region in the xy-plane bounded by the curves y=8xx²
and y=X². Set up, but do not evaluate, anintegral that calaulaks
y3x². Set up
i but donot evaluate, an integral that
the volume of the solid obtained by rotating the region Of R by
X-axis.
A)v= o Sö [Cx²)?-(sx-x)²]dx
Dv- 5CてEメ-x)-や]ck
C v= 2T
(8X-X
c)v
d)v= TT Sä [ C8x-x*)² - Cx²)2]de
E) V=2 TT SŏxL (8x-x^)-x²] dx
xCx
(8x-X
2.
Transcribed Image Text:18) Let n be the region in the xy-plane bounded by the curves y=8xx² and y=X². Set up, but do not evaluate, anintegral that calaulaks y3x². Set up i but donot evaluate, an integral that the volume of the solid obtained by rotating the region Of R by X-axis. A)v= o Sö [Cx²)?-(sx-x)²]dx Dv- 5CてEメ-x)-や]ck C v= 2T (8X-X c)v d)v= TT Sä [ C8x-x*)² - Cx²)2]de E) V=2 TT SŏxL (8x-x^)-x²] dx xCx (8x-X 2.
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