Assume That X and Y Are Both Differentiable Functions of T

question 115

Multiple Choice

Assume that x and y are both differentiable functions of t. Find $\frac { d x } { d t }$ when $x = 11$ and $\frac { d y } { d t } = - 8$ for the equation $x y = 132$ .

• A) \(\frac { d x } { d t } = - 1056\)
• B) \(\frac { d x } { d t } = 88\)
• C) \(\frac { d x } { d t } = - \frac { 22 } { 3 }\)
• D) \(\frac { d x } { d t } = \frac { 22 } { 3 }\)
• E) \(\frac { d x } { d t } = - 88\)

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Definitions:

Total Costs

The complete sum of all expenses, both fixed and variable, incurred in the production of goods or services.

Break-even Quantity

The number of units that must be sold to cover all costs, after which profit begins to be generated.

Advertising Expenses

Costs incurred in promoting a product, service, or brand through various media, including print, online, television, and outdoor advertising.

Contribution Margin

The amount of revenue from sales that exceeds variable costs, providing a measure of the ability of a company to cover its fixed costs and contribute to profit.