Suppose That $f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)$

question 14

Multiple Choice

Suppose that $f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)$ where $g$ is a function of one variable such that $g ( 6 ) = 2$
Evaluate $\iint _ { S } f ( x , y , z ) d S$ where $S$ is the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 36$

• A) \(368 \pi\)
• B) \(408 \pi\)
• C) \(308 \pi\)
• D) \(288 \pi\)
• E) None of these

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Definitions:

Cash

Money in the form of notes and coins, representing immediate purchasing power and liquidity.

Bank Vaults

Secure rooms where banks and other financial institutions store money, valuable documents, and other assets.

Fed

Short for the Federal Reserve, the central banking system of the United States, which regulates the U.S. monetary and financial system.

Open Market

An economic system with no barriers to free market activities, where securities, goods, and services can be traded openly.