(Section 3.1) 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 \( f^{\prime}(t)\) positive or negative? (Be sure that you are able to give a reason for your answer.) For the following, enter units in text mode. Click the textbox (Tt) button from the menu on the right or type quotes(") before entering an answer that contains units. (b) What are the units of \( f^{\prime}(10)\)? help (units). Suppose that \(\left|f^{\prime}(10) ight|=1.2\) and \( f(10)=61\). 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, its is 61 and will by about 1.2 in the next 90 seconds.