The Function Graphed Is of the Form Y $$y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0$$

question 59

Multiple Choice

The function graphed is of the form y $$y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0$$ Determine the equation of the graph.
-A weight attached to a spring is pulled down 7 inches below the equilibrium position. Assuming that the period of the system is $\frac { 1 } { 5 }$ second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.

• A) \(y = 7 \cos 10 \pi t\)
• B) \(y = 7 \cos \frac { 1 } { 5 } t\)
• C) \(y = - 7 \cos 10 \pi t\)
• D) \(y = - 7 \cos 5 \pi t\)

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Definitions:

Consecutive Positive Integers

A sequence of integers where each number is one more than the previous number.

Product

The outcome obtained when two or more numbers or expressions are multiplied together.

Financial Report

A formal record of financial activities and the financial position of a business, person, or other entity, typically including balance sheets, income statements, and cash flow statements.

Printer A

A device or machine that reproduces text and images on paper or other media.