[Step-by-Step] A trough 10 feet long has ends in the shape of semicircles with radius 6 feet, as pictured. The trough is filled to a depth of 5 feet with
Question: A trough 10 feet long has ends in the shape of semicircles with radius 6 feet, as pictured. The trough is filled to a depth of 5 feet with water (density \(=62.5 \mathrm{lb} / \mathrm{ft}^{3}\) ). Set up, but do not evaluate, an integral that represents the work required to pump all of the water out of the tank to a collector 3 feet above the top of the tank. (12 points)
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(See Solution) If f(x)=(3 x^2+1)/(x^2+2 x-3), solve the following.
![[Solved] Find the average value of f(x)=4](/images/solutions/MC-solution-library-46715.jpg "[Solved] Find the average value of f(x)=4 sec ^2 x on the interval")
[Solved] Find the average value of f(x)=4 sec ^2 x on the interval
(See Steps) A box with a square base and no top is to contain
![[All Steps] A force of 6 pounds](/images/solutions/MC-solution-library-46717.jpg "[All Steps] A force of 6 pounds is required to stretch a spring")
[All Steps] A force of 6 pounds is required to stretch a spring
(See Solution) Let R be the plane region bounded by y=√x, y=6-x,
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