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Problem 1: Michael Jackson's dead body was found at around 6:24 PM in a hotel room where the temperature is maintained at $18^{\circ} \mathrm{C}$. At that time, its temperature was found out to be $30.5^{\circ} \mathrm{C}$ and dropped to $29.75^{\circ} \mathrm{C}$ half an hour later. Assuming that his body temperature was normal $\left(37^{\circ} \mathrm{C}\right)$ the moment he died, estimate Michael Jackson's time of death using Newton's law of cooling. Express your answer in HH:MM format rounded off to the nearest $1 / 12$ of an hour. Express final answer as a one-line implicit function.ss

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