Find the Rate of Change of the Distance Between the Origin

question 43

Multiple Choice

Find the rate of change of the distance between the origin and a moving point on the graph of $y = x ^ { 2 } + 7$ if $\frac { d x } { d t } = 6$ centimeters per second.

• A) \(\frac { d D } { d t } = \frac { 12 x ^ { 3 } + 90 x } { \sqrt { x ^ { 4 } + 15 x ^ { 2 } + 49 } }\)
• B) \(\frac { d D } { d t } = \frac { 6 x ^ { 3 } - 20 x } { x ^ { 3 } + 15 x ^ { 2 } + 49 }\)
• C) \(\frac { d D } { d t } = \frac { 12 x ^ { 3 } - 90 x } { \sqrt { x ^ { 3 } + 15 x ^ { 2 } + 49 } }\)
• D)\(\frac { d D } { d t } = \frac { 6 x ^ { 3 } + 90 x } { \sqrt { x ^ { 4 } + 14 x ^ { 2 } + 49 } }\)
• E)\(\frac { d D } { d t } = \frac { 12 x ^ { 3 } + 20 x } { x ^ { 4 } + 12 x ^ { 2 } + 49 }\)

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Definitions:

Market Values

The present rate at which a service or asset is available for purchase or sale on the market.

Adjusting Entry

An accounting entry made in the journals at the end of an accounting period to allocate revenue and expenses to the period in which they actually occurred.

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A type of equity security that represents ownership in a corporation, with rights to share in its profits through dividends and capital appreciation.

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Refers to the act of transferring ownership in a corporation's stock from one party to another in exchange for money or other compensation.