The body mass of a certain type of sheep can be estimated by M(t) = 26.4+0.4t-0.00112 where M(t) is measured in kilograms and t is days since May 25. a. Find the average rate of change of the mass of a sheep between 101 and 110 days past May 25. b. Find the instantaneous rate of change of the mass of a sheep whose age is 101 days past May 25. c. Graph the function M(t) on [5, 125] by [25,65]. d. Does the behavior of the function past 125 days accurately model the mass of the sheep? Why or why not?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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The body mass of a certain type of sheep can be estimated by M(t) = 26.4 +0.4t -0.001t² where M(t) is measured in kilograms and t is days since May 25.
a. Find the average rate of change of the mass of a sheep between 101 and 110 days past May 25.
b. Find the instantaneous rate of change of the mass of a sheep whose age is 101 days past May 25.
c. Graph the function M(t) on [5, 125] by [25, 65].
d. Does the behavior of the function past 125 days accurately model the mass of the sheep? Why or why not?
Transcribed Image Text:The body mass of a certain type of sheep can be estimated by M(t) = 26.4 +0.4t -0.001t² where M(t) is measured in kilograms and t is days since May 25. a. Find the average rate of change of the mass of a sheep between 101 and 110 days past May 25. b. Find the instantaneous rate of change of the mass of a sheep whose age is 101 days past May 25. c. Graph the function M(t) on [5, 125] by [25, 65]. d. Does the behavior of the function past 125 days accurately model the mass of the sheep? Why or why not?
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