Suppose 2 $x ^ { 3 }$ - 3 $p ^ { 4 }$

question 50

Multiple Choice

Suppose 2 $x ^ { 3 }$ - 3 $p ^ { 4 }$ = 6, where x and p are differentiable functions of t. Find $\frac { \mathrm { dp } } { \mathrm { dt } }$ .

• A) 6 \(x ^ { 2 }\) \(\frac { \mathrm { dx } } { \mathrm { dt } }\) - 12 \(p ^ { 3 }\)
• B) \(\frac { 6 - 6 x ^ { 2 } } { 12 p ^ { 3 } }\) \(\frac { \mathrm { dx } } { \mathrm { dt } }\)
• C) 6 \(x ^ { 2 }\) - 12 \(p ^ { 3 }\) \(\frac { \mathrm { dp } } { \mathrm { dt } }\)
• D) \(\frac { x ^ { 2 } } { 2 p ^ { 3 } }\) \(\frac { \mathrm { dx } } { \mathrm { dt } }\)

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Investment

The act of allocating resources, usually money, with the expectation of generating an income or profit.

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Money owed by a business to its suppliers shown as a liability on the company's balance sheet.

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Funds that have been disbursed to cover the costs incurred by a business or individual.

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The process of discharging obligations or debts by transferring assets, typically cash, to the creditor or lender.