In: Math
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)=−0.015t^2+0.01t where MM represents
the mass (in grams) of the tumor and tt is the time (in days) since
the beginning of the radiation treatment. If a tumor of this
particular type has a mass of 150 grams just prior to the start of
radiation treatment,
a. Rounded to the nearest tenth, at what rate will the tumor be
changing in 5 days? grams per day
b. in 20 days? grams per day
c.c. Rounded to the nearest tenth, what will the mass of the tumor
be in 5 days? grams
d.d. in 20 days? grams