Provide an Appropriate Response $F ^ { \prime } ( x )$

question 29

Multiple Choice

Provide an appropriate response.
-Find $F ^ { \prime } ( x )$ if $F ( x ) = \int _ { 0 } ^ { x ^ { 2 } } \sqrt { t ^ { 2 } + x ^ { 2 } } d t$ .

• A) \(2 x \sqrt { x ^ { 2 } + 1 } + \int _ { 0 } ^ { x ^ { 2 } } \frac { x } { \sqrt { t ^ { 2 } + x ^ { 2 } } } d t\)
• B) \(2 x ^ { 2 } \sqrt { x ^ { 2 } + 1 } + \int _ { 0 } ^ { x ^ { 2 } } \frac { x ^ { 2 } } { \sqrt { t ^ { 2 } + x ^ { 2 } } } d t\)
• C) \(2 x ^ { 2 } \sqrt { x ^ { 2 } + 1 } + \int _ { 0 } ^ { x ^ { 2 } } \frac { x } { \sqrt { t ^ { 2 } + x ^ { 2 } } } d t\)
• D) \(x \sqrt { x ^ { 2 } + 1 } + \int _ { 0 } ^ { x ^ { 2 } } \frac { x } { \sqrt { t ^ { 2 } + x ^ { 2 } } } d t\)

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Definitions:

Effective

The degree to which something is successful in producing a desired or intended result.

Pay Equity Legislation

Laws designed to reduce the wage gap between genders and different ethnic groups by ensuring equal pay for work of equal value.

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Relative Worth

The value or importance of a job, task, or item compared to others, often assessed in the context of job evaluations or market value.