A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x10 from x= -1 to x = 1. The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water.

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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A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped
,10
like the graph of y = X from x = -1 to x 1. The trough is full of water. Find the amount of work in
foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62
pounds per cubic foot as the weight of water.
Transcribed Image Text:- A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped ,10 like the graph of y = X from x = -1 to x 1. The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water.
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