Find the area of the surface generated by revolving about the 2 2 2 3 3 x-axis the portion of the astroid x³ +y³ =93 shown in the accompanying figure. (Hint: Revolve the first quadrant portion y = result.) 3 X 3 2 , 0≤x≤9, about the x-axis and double your 6 √

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the area of the surface generated by revolving about the
2
2 2
3
3
3
x-axis the portion of the astroid x +y³ = 9³ shown in the
accompanying figure. (Hint: Revolve the first quadrant portion
2 2
3
y =
result.)
- X
3
2
, 0≤x≤9, about the x-axis and double your
S =
(Type an exact answer, using radicals and as needed.)
-9
O
S
9
Q
Q
Transcribed Image Text:Find the area of the surface generated by revolving about the 2 2 2 3 3 3 x-axis the portion of the astroid x +y³ = 9³ shown in the accompanying figure. (Hint: Revolve the first quadrant portion 2 2 3 y = result.) - X 3 2 , 0≤x≤9, about the x-axis and double your S = (Type an exact answer, using radicals and as needed.) -9 O S 9 Q Q
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