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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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
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