Find a Function That Satisfies the Conditions $f ^ { \prime \prime } ( x ) = x ^ { 5 } , f ^ { \prime } ( 0 ) = 9 , f ( 0 ) = 5$

question 36

Multiple Choice

Find a function that satisfies the conditions $f ^ { \prime \prime } ( x ) = x ^ { 5 } , f ^ { \prime } ( 0 ) = 9 , f ( 0 ) = 5$ .

• A) \(f ( x ) = \frac { 1 } { 6 } x ^ { 6 } + 9 x\)
• B) \(f ( x ) = \frac { 1 } { 42 } x ^ { 7 } + 9 x + 5\)
• C) \(f ( x ) = \frac { 1 } { 42 } x ^ { 6 } + 9 x + 5\)
• D) \(f ( x ) = \frac { 1 } { 7 } x ^ { 7 } + 9 x\)
• E) \(f ( x ) = \frac { 1 } { 42 } x ^ { 6 } + 5 x + 9\)

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Definitions:

Standard Deviation

A statistical measure of the dispersion or variation in a set of values, indicating how spread out the values are from the mean.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values from the mean.

Payoff

The return or reward received from an investment or action.

Outcome Yields

The results obtained from a particular action or set of circumstances, typically measured in terms of benefits, profits, or yields.