Calculus Question

Question

With time, t, in minutes, the temperature, H, in degrees Celsius, of a bottle of water put in the refrigerator at t=0 is given by

H=4+16e^-0.02t

How fast is the water cooling initially? After 30 minutes? Give units.

 

Answer 1

dH/dt = -.32e^-.02t

^{At t=0 dHdt = -.32 degrees per minute}

^{In order to get the other answer you need to put t = 30.}