The body mass of a certain type of sheep can be estimated by M(t)=26.8 0.3t- 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 105 and 114 days past May 25 b. Find the instantaneous rate of change of the mass of a sheep whose age is 105 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? M(114)-M(105) O B. M(114) M(105) O A. 105 114 M(114) M(105) 114 105 M(114) M(105) O D 114 105 kg per day. The average rate of change of the mass of the sheep between days 105 and 114 is 081 (Type an integer or a decimal.) b. Which of the following is a correct expression for the instantaneous rate of change on day 105?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Please find the actual instantaneous rate of change on day 105 not just the expression

The body mass of a certain type of sheep can be estimated by M(t)=26.8 0.3t- 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 105 and 114 days past May 25
b. Find the instantaneous rate of change of the mass of a sheep whose age is 105 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?
M(114)-M(105)
O B.
M(114) M(105)
O A.
105
114
M(114) M(105)
114 105
M(114) M(105)
O D
114
105
kg per day.
The average rate of change of the mass of the sheep between days 105 and 114 is 081
(Type an integer or a decimal.)
b. Which of the following is a correct expression for the instantaneous rate of change on day 105?
Transcribed Image Text:The body mass of a certain type of sheep can be estimated by M(t)=26.8 0.3t- 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 105 and 114 days past May 25 b. Find the instantaneous rate of change of the mass of a sheep whose age is 105 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? M(114)-M(105) O B. M(114) M(105) O A. 105 114 M(114) M(105) 114 105 M(114) M(105) O D 114 105 kg per day. The average rate of change of the mass of the sheep between days 105 and 114 is 081 (Type an integer or a decimal.) b. Which of the following is a correct expression for the instantaneous rate of change on day 105?
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