A medical study has shown that the first 20 days of radiation therapy, a particular type of malignant tumor decreases at a rate according to the function M'(t) = (-0.024t^2) + (0.01t) , where M represents the mass (in grams) of the tumor and t is the time (in days) since the beginning of the radiation treatment. If a tumor of this particular type has a mass of 200 grams just prior to the start of radiation treatment, answer the following. Round to 1 decimal place.    a.) At what rate will the tumor be changing in 5 days?  ______grams per day b.)  At what rate will the tumor be changing in 10 days?  ______grams per day  c.) What will the mass of the tumor be in 5 days?  ______grams  d.) What will the mass of the tumor be in 10 days?  ______grams

Find y' by direct diferrentiation with respect to x.  y = [log11(2x2 + 5)]8 and y= 10x+x10

An oil tanker is leaking oil at a rate ofL ′ ( x ) = x e ^(− x/2)barrels per hour, where x is the time in hours after the tanker has hit a hidden rock (at x = 0). How many barrels will the ship leak on the first day?

A service station currently has 120 cases of motor oil. Over the next six months inventory of oil will be recorded monthly. Assume that the inventory is given by f(t)=120e^(−0.6t), where tt is the number of months from the present. Answer the following questions, rounding your answer to the nearest tenth. b) How many cases of oil are left at the end of the six-month period? Answer: c) What is the average number of cases in inventory over the six-month period? Answer: