Find an Antiderivative Of $\sqrt{7 x}-\frac{6}{x \sqrt{x}}$
A) $\frac{3}{14}(7 x)^{3 / 2}-6 x^{-1 / 2}+C$

question 14

Multiple Choice

Find an antiderivative of $\sqrt{7 x}-\frac{6}{x \sqrt{x}}$ .

• A) \(\frac{3}{14}(7 x)^{3 / 2}-6 x^{-1 / 2}+C\)
• B) \(\frac{2}{21}(7 x)^{3 / 2}+12 x^{-1 / 2}+C\)
• C) \(\frac{3}{14}(7 x)^{3 / 2}-12 x^{-5 / 2}+C\)
• D) \(\frac{2}{21}(7 x)^{3 / 2}+\frac{5}{12} x^{-5 / 2}+C\)

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Definitions:

Utility Function

A mathematical representation of a consumer's preference ordering over a set of goods and services, showing the satisfaction level from consumption.

Consumption Of X

The act of using up a particular resource X or the amount of X that is used.

Units Of Y

A generic term for the measurement used to quantify the output in a given economic or mathematical model.

Utility Function

An economic model that describes how consumers rank different bundles of goods according to the levels of satisfaction or utility those bundles provide.