Find the f(x) which, when rotated around the y_ axis gives the least possible area.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A Hyperbolic cooling tower whose shape and dimensions are shown in the picture and
drawing below is to be designed. As it is known, the cost of constructing such a tower
depends a lot on the amount of lateral space, and for that, this required space must be
reduced.
1_ Find the f(x) which, when rotated around the y_ axis gives the least possible area.
2_Calculate this area.
120 m
y
-50 m
95 m
f(x)
Transcribed Image Text:A Hyperbolic cooling tower whose shape and dimensions are shown in the picture and drawing below is to be designed. As it is known, the cost of constructing such a tower depends a lot on the amount of lateral space, and for that, this required space must be reduced. 1_ Find the f(x) which, when rotated around the y_ axis gives the least possible area. 2_Calculate this area. 120 m y -50 m 95 m f(x)
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