A Value Of $\sinh x$ Or $\cosh x$ Is Given Use the Definitions and the Identity

question 78

Multiple Choice

A value of $\sinh x$ or $\cosh x$ is given. Use the definitions and the identity $\cosh ^ { 2 } x - \sinh ^ { 2 } x = 1$ to find the value of the other indicated hyperbolic function.
- $\sinh x = \frac { 3 } { 4 } , \operatorname { coth } x =$

• A) \(\frac { 3 } { 5 }\)
• B) \(\frac { 5 } { 16 }\)
• C) \(\frac { 5 } { 3 }\)
• D) \(\frac { 5 } { 4 }\)

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Definitions:

Firm's Output

The total amount of goods or services produced by a firm over a given period of time.

Profit Per Unit

The amount of income that a company earns above its costs for producing one unit of a good or service.

Short Run

A period in which at least one input, such as capital, is fixed, allowing only some factors, like labor, to change in quantity.

Long Run

A period in economics during which all inputs, including capital, are variable, allowing firms to adjust all aspects of production in response to market changes.