A mug of beer chilled to 30 degrees, if left in a 72-degree room, will warm to a temperature of T(t) = 72 − 42e−3.5t degrees in t hours. (a) Find T(0.45) and T'(0.45). (Round your answers to one decimal place.) T(0.45) = ° T'(0.45) = ° Interpret your answers. After 27 minutes, the temperature of the beer is degrees and is increasing at the rate of degrees per hour.
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A mug of beer chilled to 30 degrees, if left in a 72-degree room, will warm to a temperature of
degrees in t hours.
T(0.45) | = | ° |
T'(0.45) | = | ° |
Interpret your answers.
(b) Find T(1) and
T(1) | = | ° |
T'(1) | = | ° |
Interpret your answers.
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