A metal cube is dropped into a tank of water, the temperature of which is held at 14°C. The initial temperature of the c

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A metal cube is dropped into a tank of water, the temperature of which is held at 14°C. The initial temperature of the c

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A Metal Cube Is Dropped Into A Tank Of Water The Temperature Of Which Is Held At 14 C The Initial Temperature Of The C 1
A Metal Cube Is Dropped Into A Tank Of Water The Temperature Of Which Is Held At 14 C The Initial Temperature Of The C 1 (55.16 KiB) Viewed 18 times
A metal cube is dropped into a tank of water, the temperature of which is held at 14°C. The initial temperature of the cube is 120°C, and after 20 minutes the temperature of the cube has dropped to 60°C. Assume that Newton's law of cooling applies. (1.1) Write down the differential equation for the temperature of the cube, T(t). (1.2) What will the temperature of the cube be after 1 hour? (1.3) Will the temperature of the cube ever reach 1°C? Justify your answer! (1.4) What is the initial rate of change of the temperature of the cube?
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