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At time t 0 a bottle of juice at 90f is stood in a

Question: At time t = 0, a bottle of juice at 90°F is stood in a mountain stream whose temperature is 50°F. After 5 minutes, its temperature is 80°F. Let H(t) denote the temperature of the juice at time t, in minutes.

(a) Write a differential equation for H(t) using Newton's Law of Cooling.

(b) Solve the differential equation.

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Mathematics: At time t 0 a bottle of juice at 90f is stood in a

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