The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H=f(t), where t is in minutes since the coffee was put on the counter.
(a) Is f′(t) positive or negative?
(b) What are the units of f′(35)?
(c) Suppose that |f′(35)|=1.5 and f(35)=76. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case.
At 35 minutes after the coffee was put on the counter, its temperature is
76 degC and will decrease by about __________ in the next 15 seconds.
1 answer