Please review last part I have gotten 15 degrees cel but tha

Please review last part I have gotten 1.5 degrees cel, but that is incorrect

The temperature. H| in degree Celslus, of a cup of coffee placed on the kitchen counter is given by H = f (t) |, where t| is in minutes the coffee was put on the counter. Is f\'(t)| positive or negative? (Be sure that you are able to give a reason for answer.) What are the units of f\'(10)|? Help (units) Supper that | f\' (10) = 59| fill in the blanks (including units where needed) and select the appropriate terms to 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. its ? is and will ? by about in the next 15 seconds.

Solution

f(10) = 59

f\'(10) = -0.1 {negative because temperature will decease)

f(t+10) is approx f(10) + t*f\'(t+10) ,where t is in minute , for small value of t.

for next 15 sec , t = 15/60 = 0.25

so T = 59-0.1*0.25 = 58.975

most probably you put t = 15 ,which is wrong