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A medical examiner called to the scene of a murder will usually take the temperature...

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Calculus

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A medical examiner called to the scene of a murder will usually take the temperature of the body A corpse cools at a rate proportional to the difference between its temperature and the temperature of the room If y t is the temperature in degrees Fahrenheit of the body t hours after the murder and if the room temperature is 60 then y satisfies y 0 32 y 60 y 0 98 6 body temperature initially 98 6 a Solve this differential equation and initial condition y b Use your answer to part a to estimate how long ago the murder took place if the temperature of the body when it was discovered was 80 Hint Find the value of t that makes your solution equal 80 Round your answer to two decimal places t hr

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