Find the Volume of the Solid Generated by Revolving the Region

question 84

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the
$X \text {-axis. }$ $y = \frac { 1 } { \sqrt { x + 13 } } , y = 0 , x = 0 , x = 9$

• A) \(\frac { 31 } { 26 } \pi\)
• B) \(\ln \left( \frac { 22 } { 13 } \right) \pi\)
• C) \(\ln \left( \frac { 31 } { 26 } \right) \pi\)
• D) \(\frac { 31 } { 13 } \pi\)
• E) \(\ln \left( \frac { 31 } { 13 } \right) \pi\)

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Definitions:

M2 Money Supply

A measure of the money supply that includes cash, checking deposits, and easily convertible near money, such as savings deposits and money market securities.

Required Reserve Ratio

The fraction of depositors' balances that banks must have on hand as cash, determined by the central bank to ensure the bank's liquidity and stability.

Federal Funds Rate

The interest rate at which depository institutions trade federal funds (balances held at Federal Reserve Banks) with each other overnight.

Inflation Rate

The percentage change in the price level of goods and services in an economy over a given period of time.