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:

Nuclear Medicine

A medical specialty involving the application of radioactive substances in the diagnosis and treatment of diseases.

Radiopaque Substance

A substance that does not allow X-rays to pass through and appears white or light on an X-ray film, used in medical imaging to highlight structures.

Radioactive Isotope

An isotope that exhibits radioactive decay, emitting radiation in the process.

Fluorescence

The emission of light by a substance that has absorbed light or other electromagnetic radiation, usually seen as a different color.