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(Solved): A trough is 6 feet long and 1 foot high. The vertical cross-section of the trough parallel to an e ...
A trough is 6 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of \( y=x^{10} \) 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. foot-pounds
Expert Answer
given the segment of the curve y=x10andx=?1?x=1 slice of the water with height betwee