A dead body was found within a closed room of a house where the temperature was a constant 71° F. At the time of discovery the core temperature of the body was determined to be 81° F. One hour later a second measurement showed that the core temperature of the body was 76° F. Assume that the time of death corresponds to t = 0 and that the core temperature at that time was 98.6° F. Determine how many hours elapsed before the body was found. [Hint: Let t > 0 denote the time that the body was discovered.]

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A dead body was found within a closed room of a house where the temperature was a constant 71° F. At the time of discovery the core temperature of the body was determined to be 81° F. One hour later a second measurement showed that the core temperature of the body was 76° F. Assume that the time of death corresponds to t = 0 and that the core temperature at that time was 98.6° F. Determine how many hours elapsed before the body was found. [Hint: Let t > 0 denote the time that the body was discovered.]

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