Determine the Equation of the Graph $\mathrm { s } ( \mathrm { t } ) = - 3 \cos 5 \pi \mathrm { t }$

question 163

Multiple Choice

Determine the equation of the graph.
-The position of a weight attached to a spring is $\mathrm { s } ( \mathrm { t } ) = - 3 \cos 5 \pi \mathrm { t }$ inches after $\mathrm { t }$ seconds. When does the weight first reach its maximum height?

• A) After \(\frac { 1 } { 5 } \mathrm { sec }\)
• B) After \(\frac { 5 } { \pi } \sec\)
• C) After \(\frac { \pi } { 5 } \sec\)
• D) After \(\frac { 5 } { 4 } \mathrm { sec }\)

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Definitions:

Marginal Product

Refers to the additional output that is produced by adding one more unit of a specific input, assuming all other inputs are held constant.

Total Product

The total amount of output that a firm produces, usually measured over a certain time period, using all available inputs.

Total Costs

The sum of all expenses a company incurs to produce its goods or services, including fixed and variable costs.