Chapter 1 | Functions and Graphs
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181. [T] Suppose that T =50+10sin ⎡ ⎣ π 12
⎤ ⎦ is a
( t −8)
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°? d. Sketch the graph of T over 0≤ t ≤24. ⎠ 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.? 182. [T] The function H ( t ) =8sin ⎛ ⎝ π 6 t ⎞
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