?Suppose that \(T=50+10 \sin \left[\frac{\pi}{12}(t-8)\right]\) is a mathematical model
Chapter 1, Problem 181(choose chapter or problem)
Suppose that \(T=50+10 \sin \left[\frac{\pi}{12}(t-8)\right]\) is a mathematical model of the temperature (in degrees Fahrenheit) at t hours after midnight on a certain day of the week.
a. Determine the amplitude and period.
b. Find the temperature 7 hours after midnight.
c. At what time does T = \(60^{\circ}\)?
d. Sketch the graph of T over \(0 \leq t \leq 24\)
Text Transcription:
T=50+10 sin[pi/12(t-8)]
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