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Calculus Problem Involving Integration?

A bottle of white wine at room temperature (68°F) is placed in a refrigerator at 4 p.m. Its temperature after t hr is changing at the following rate, measured in °F/hr.
-18e^(-0.6t)
By how many degrees will the temperature of the wine have dropped by 9 p.m.?

Edited and revised:
Let y be the termperatue
dy/dt = -18 e^(-0.6t) — given
Integrate both sides from 0 to 5 since 5 hours have passed between 4:00 p.m. and 9:00 p.m.
y = -18 e^(-0.6t) / -0.6
y = 30 e^-0.6t
Substitute t=5; t=0; subtract
y = 30 ( e^-0.6(5) – e^-0.6(0))
y = 30( e^-3 – 1)
=-28.5 F
From 68 to -28.5, the temperature has dropped 88.5 degrees Fahrenheit.

b) Temperature at 9:00 p.m. is 68-28.5 = 39.5 F

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