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According to Newton's Law of Heating, the Temperature TT Of a Cold Object Increases at a Rate Proportional to a Cold

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According to Newton's Law of Heating, the temperature TT of a cold object increases at a rate proportional to the difference between TT and the temperature ToT _ { o } of its surroundings.(a) Write down this law as a differential equation.(b) Assume the room temperature is 70 ^\circ F. If it takes 10 minutes for a can of soda to warm up from 30 ^\circ F to 35 ^\circ F, and how long it takes to warm up a can of soda from 30 ^\circ F to 40 ^\circ F.

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