Exer. Scientists sometimes use the formula
to simulate temperature variations during the day, with time t in hours, temperature f(t) in °C, and t = 0 corresponding to midnight. Assume that f(t) is decreasing at midnight.
(a) Determine values of a, b, c, and d that fit the information.
(b) Sketch the graph of f for 0 ≤ t ≤ 24.
The temperature varies between 10°C and 30°C, and the average temperature of 20°C first occurs at 9 A.M.
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