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Work, Force, Consumer Surplus, Cost Functions and Maximum Profit

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36. A holding tank has the shape of a rectangular parallelepiped 20ft by 30ft by 10 ft.
a) How much work is done in pumping all the water to the top of the tank?
b) How much work is done in pumping all the water out of the tank to a height of 2ft above the top of the tank?

Please see the attached file for all nine questions.

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Nine calculus problems regarding Work, Force, Consumer Surplus, Cost Functions and Maximum Profit are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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