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Scientists sometimes use the formula to simulate temperature variations during the day, with time t in hours, temperature f ( t ) in
, and t=0 corresponding to midnight. Assume that f ( t ) is decreasing at midnight. Determine values of a, b, c, and d that fit the information: the high temperature of 32
occurs at 2 P.M., and the average temperature of 23
occurs 6 hours later.
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