4. A cup of coffee with initial temperature 100°F, is placed in an air-conditioned room where the temperature of the roo

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4 A Cup Of Coffee With Initial Temperature 100 F Is Placed In An Air Conditioned Room Where The Temperature Of The Roo 1 (20.65 KiB) Viewed 20 times

4. A cup of coffee with initial temperature 100°F, is placed in an air-conditioned room where the temperature of the room at hour t is given by Act). By Newton's Law of Cooling, the temperature of the coffee, T(t) would be governed by the following initial value problem: dT k(At) -T) Τ(Ο) Tinitiel 100. (a) Suppose A(t) = 60 + 10e and k 1. Solve the initial value problem to find T(t). dt