an 18) Let n be the region in the Xy-plane bonded by the curves y=8xx² and y=X². Set up, but do not evaluate, an integral that calculats the volume of the solid obtained by rotating the region of R by X-axis. A)v= T Sö [(x²)²-(sx-x`)²]dx 8X-x^)- x² dk (8x-X )v- Sて ○v= 21π5xCx<-<8×-x) d)v= T S o [C8x-x*)² - Cx²)a]dx L(8x-x^)-x²] dx C)V= 2TT xLX E) v=2 TT Sö x[C8x-x^) - x²] dx 11

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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an
18) Let n be the region in the Xy-plane bonded by the curves y=8xx²
and y=X². Set up, but do not evaluate, an integral that calculats
the volume of the solid obtained by rotating the region of R by
X-axis.
A)v= T Sö [(x²)²-(sx-x`)²]dx
8X-x^)- x² dk
(8x-X
)v- Sて
○v= 21π5xCx<-<8×-x)
d)v= T S o [C8x-x*)² - Cx²)a]dx
L(8x-x^)-x²] dx
C)V= 2TT
xLX
E) v=2 TT Sö x[C8x-x^) - x²] dx
11
Transcribed Image Text:an 18) Let n be the region in the Xy-plane bonded by the curves y=8xx² and y=X². Set up, but do not evaluate, an integral that calculats the volume of the solid obtained by rotating the region of R by X-axis. A)v= T Sö [(x²)²-(sx-x`)²]dx 8X-x^)- x² dk (8x-X )v- Sて ○v= 21π5xCx<-<8×-x) d)v= T S o [C8x-x*)² - Cx²)a]dx L(8x-x^)-x²] dx C)V= 2TT xLX E) v=2 TT Sö x[C8x-x^) - x²] dx 11
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