?The function \(H(t)=8 \sin \left(\frac{\pi}{6} t\right)\) models the height H (in feet)

Chapter 1, Problem 182

(choose chapter or problem)

The function \(H(t)=8 \sin \left(\frac{\pi}{6} t\right)\)  models the height H (in feet) of the tide t hours after midnight. Assume that t = 0 is midnight.

a. Find the amplitude and period.

b. Graph the function over one period.

c. What is the height of the tide at 4:30 a.m.?

Text Transcription:

H(t)=8 sin(pi/6 t)

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