Find the equation that solves the area of the surface obtained by rotating the curve x = (y² + 2)% , 1< y< 3, about the y-axis. A. S = f" (y² + 1)(y² + 2)/y² + 2 dy B. S = v² + 2)(y² + 1)/y² + 1 dy C. S = Lv² + 2) /1+ y²Cy² + 2) dy D. S = f(y² + 2)/y² + 1)(y² + 2) dy -3 27n 1 3 3 2n - 3 r3 2n 3 -3 2n 1 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Find the equation that solves the area of the surface
3
(y² + 2) ,
obtained by rotating the curve x =
1< y< 3, about the y-axis.
A. S = (y² + 1)(y² + 2),/y² + 2 dy
B. S = (y² + 2)(y² + 1)/y² + 1 dy
C. S = (y² + 2)/1+y²(y² + 2) dy
D. S = (y? + 2)/(y² + 1)(y² + 2) dy
3
3 2n
1 3
r3 2n
1 3
-3 2n
%3D
3
c3 2n
%3D
1 3
Transcribed Image Text:Find the equation that solves the area of the surface 3 (y² + 2) , obtained by rotating the curve x = 1< y< 3, about the y-axis. A. S = (y² + 1)(y² + 2),/y² + 2 dy B. S = (y² + 2)(y² + 1)/y² + 1 dy C. S = (y² + 2)/1+y²(y² + 2) dy D. S = (y? + 2)/(y² + 1)(y² + 2) dy 3 3 2n 1 3 r3 2n 1 3 -3 2n %3D 3 c3 2n %3D 1 3
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