The temperature. H| in degrees Celsius, of a cup of coffee placed on the kitchen

Question

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 Is f'(t)| positive or negative? (Be sure that you are able to give a reason for your answer.) What are the units or f'(10)|? help (units) Suppose that |f'(10)| = 0.l|and f (10) = 59| 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 minutes after the coffee was put on the counter, it is and will by about in the next 15 seconds.

Explanation / Answer

a) f '(t) is negative because temperature is decresing as the outside temperatue is low compared to temperature of coffee

b)units of f '(10) is oC/minute

change in temperature in next 15 sec =0.1*15=1.5oC

c)at 10 minutes after the coffee was put on the counter its temperature is 59oC and will decrease by about 1.5oC in next 15 seconds

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