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In the investigation of a homicide or accidental death, it isoften important to estimate the time of death. From the experimental observations, it is known that the surface temperature of anobject changes at a rate proportional to the difference between the temperature of the object and that of the surrounding environmentor ambient temperature. This is known as Newton's law of cooling. Thus, if
where
(a) Determine K and the time of death.
(b) Solve the ODE numerically and plot the results.
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