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A Large Tank Is Designed with Ends in the Shape y=x22y = \frac { x ^ { 2 } } { 2 }

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A large tank is designed with ends in the shape of the region between the curves y=x22y = \frac { x ^ { 2 } } { 2 } and y=15y = 15 , measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of 9ft9 \mathrm { ft } with gasoline. (Assume that the density of the gasoline is 42.0lb/tt342.0 \mathrm { lb } / \mathrm { tt } ^ { 3 } .)

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Definitions:

Price of Capital

The cost associated with acquiring capital, including the interest or dividends paid to access funds or the rental rates paid for physical capital.

Marginal Resource Cost

Marginal resource cost refers to the additional cost incurred by employing one more unit of a resource, such as labor or capital, in production.

Marginal Revenue Product

The additional revenue generated from employing one more unit of a resource or factor of production.

Employment

The condition of having paid work; the extent to which available labor resources are being utilized in the economy.

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