Unformatted text preview: k > 0. Substituting we have T ( t ) = 12 ekt + 70 . 1. Find the constant k . Using T (1) = 76 76 = 12 ek + 70 . ln ± 1 2 ² =k and so k = ln 2 . 2. Use the model to determine the answer. Using the exact value of k throughout the remainder of the problem, the model becomes T ( t ) = 12 e(ln 2) t + 70 . We use the model and estimate the time of death: 98 . 6 = 12 e(ln 2) t + 70 28 . 6 12 = e(ln 2) t and so t =ln 28 . 6 12 ln 2 ≈ 1 . 25298 implying that the time of death was about 1.25 hours prior to the arrival of the police....
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 Fall '10
 KIHYUNHYUN
 Calculus, Remainder, Fundamental physics concepts, one hour, 1.25 hours

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