Let G(x, R, T) = 2 $x ^ { 2 }$

question 66

Multiple Choice

Let G(x, r, t) = 2 $x ^ { 2 }$ t + $\frac { 1 } { 3 }$ $t ^ { 2 }$ - $r ^ { 3 }$ $\sqrt { x t }$ . Find $\frac { \partial G } { \partial x }$ .

• A) 4xt - \(\frac { 1 } { 3 }\) \(t ^ { 2 }\) - \(\frac { 3 \mathrm { r } ^ { 2 } \mathrm { t } } { 2 \sqrt { x t } }\)
• B) 4x - \(\frac { \mathrm { r } ^ { 3 } } { 2 \sqrt { \mathrm { xt } } }\)
• C) \(4 x t - \frac { r ^ { 3 } t } { 2 \sqrt { x t } }\)
• D) 4xt + \(\frac { 1 } { 3 }\) \(t ^ { 2 }\) - \(r ^ { 3 }\) \(\frac { 1 } { 2 \sqrt { x t } }\)
• E) none of these

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Definitions:

Proportional Changes

Adjustments or alterations that maintain a consistent relationship or ratio among components or between an individual component and a whole.

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A girl’s first menstruation.

North American Newborn

An infant born in North America, often referring to the health, social, and environmental aspects specific to this geographic region.

Puberty

A period of rapid physical maturation involving hormonal and bodily changes that take place primarily in early adolescence.