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 260

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.
-The position of a weight attached to a spring is $\mathrm { s } ( \mathrm { t } ) = - 8 \cos 20 \pi \mathrm { t }$ inches after $\mathrm { t }$ seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?

• A) The maximum height of 8 inches is first reached after \(0.05\) seconds.
• B) The maximum height of 16 inches is first reached after 5 seconds.
• C) The maximum height of 8 inches is first reached after 10 seconds.
• D) The maximum height of 16 inches is first reached after 10 seconds.

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