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

question 44

Short Answer

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

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Definitions:

U.S. Government Securities

Financial instruments issued by the United States Department of the Treasury to finance government spending and obligations, considered low-risk investments.

Excess Reserves

The capital reserves held by a bank or financial institution in excess of what is required by regulators, central bank, or other financial authority.

Actual Reserves

The total reserves held by a bank, consisting of both required reserves and any excess reserves not needed to meet central bank requirements.

Discount Rate

The Discount Rate is the interest rate set by central banks at which financial institutions can borrow reserves, influencing monetary policy and the money supply.