Question

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.

(b) Find T(1) and

T'(1).

(Round your answers to one decimal place.)

T(1)	=	°
T'(1)	=	°

Interpret your answers.

After 1 hour, the temperature of the beer is  degrees and is increasing at the rate of  degrees per hour.

Answer 1