7.372The rate of change of the weight of a mouse, can be modeled by r(t)grams per week,twhere t is the age of the mouse, in weeks. This model is accurate for 2

given that the rate of change of the weight of a mouse can be modeled as r(t)=7.372/t where t is the…

Answered: 7.372 The rate of change of the weight…

7.372 The rate of change of the weight of a mouse, can be modeled by r(t) = grams per week, where t is the age of the mouse, in weeks. This model is accurate for 2

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

7.372
The rate of change of the weight of a mouse, can be modeled by r(t)
grams per week,
t
where t is the age of the mouse, in weeks. This model is accurate for 2 <t< 15 At age 9 weeks,
the mouse weighed 26 grams.
a. Explain what r(9) represents in the context of this problem.
12
b. Explain what
| r(t)dt represents in the context of this problem. You do not have to calculate
its value.
c. How much does the mouse weigh at age 12 weeks? Calculate this by hand using an integral.
Show your work.
grams
d. Calculate the average value of r(t) on 9 < a < 12 and explain its meaning in the context of
this problem.

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