Between 8 a.m. and 12 p.m. on a hot summer day, the temperature rose at a rate of 10F

Chapter 1, Problem 26

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Between 8 a.m. and 12 p.m. on a hot summer day, the temperature rose at a rate of 10F per hour from an initial temperature of 65F. At 9 a.m., the temperatureof an object was measured to be 35F and was, at thattime, increasing at a rate of 5F per hour. Show thatthe temperature of the object at time t wasT (t) = 10t 15 + 40e(1t)/8, 0 t 4.

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