Find the derivative.       Write it out on your own paper; here just type t.

The function V(x) = x(10 – 2x)(16 – 2x), 0 < x < 5, models the volume of a box.  Use Calculus to find the value of x (which is the height or depth) that will give a maximum volume.

Use the First Derivative Test to find all local extrema of the function.  Write answers as ordered pairs.     local maximum  [ans1] local minimum   [ans2]

Find the derivative.   .  Use the triple dot the square root icon to get to the math symbol menu.  Don’t multiply out.  Leave off the y’ = part.  

On this problem, anything that is not an integer should be rounded to one decimal place. Write extrema and inflection points as ordered pairs.  Do not put any spaces between anything. Use Calculus to find the intervals on which the function

Find the derivative.   . Write it out on your own paper.  Don’t multiply out the numerator.  On this test, just type in q.      

Find the derivative.   .  Don’t multiply out.  Write the answer on your own paper.  For here, just type in p.

A spherical balloon is inflated with helium at the rate of 1000 ft^3/min.  How fast is the balloon’s radius increasing at the instant the radius is 5 ft? .  Leave the answer in “exact” form; that is no decimal approximation.  If the answer has

Find the absolute extreme values of the function on the given interval.  Write answers as ordered pairs.     absolute maximum  [ans1] absolute minimum  [ans2]

List the route of food through the alimentary canal (AKA G.I. Tract). Begin at the mouth and end at the anus. Include all accessory organs related to the function of the Digestive system as well.