At time t = 0, a bottle of juice at 90F is stood in a mountain stream whose temperature

Chapter 11, Problem 7

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At time t = 0, a bottle of juice at 90F is stood in a mountain stream whose temperature is 50F. After 5 minutes, its temperature is 80F. Let H(t) denote the temperature of the juice at time t, in minutes. (a) Write a differential equation for H(t) using Newtons Law of Cooling. (b) Solve the differential equation. (c) When will the temperature of the juice have dropped to 60F?

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