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

question 159

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.
- $\cosh x = \frac { 17 } { 8 } , x < 0 , \operatorname { sech } x =$

• A) \(\frac { 15 } { 17 }\)
• B) \(- \frac { 8 } { 15 }\)
• C) \(- \frac { 289 } { 64 }\)
• D) \(\frac { 8 } { 17 }\)

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Definitions:

Objective Function

A mathematical function representing the goal of an optimization problem, typically minimized or maximized.

Total Cost

Total cost is the sum of all expenses incurred in the production of goods or services, including fixed and variable costs.

Total Profit

The overall financial gain achieved from a business activity after subtracting all costs and expenses.

Finishing Department

The final production stage in manufacturing where products undergo finishing processes, such as painting, polishing, or packaging, to prepare them for sale or distribution.