Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can i get help step by step with this problem?
![24. Solve the initial value problem.
2 dr
h45, r(2)5
r(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb10e0e4c-e061-4256-91c9-375d8e514bb5%2F1293eb2a-759e-48dc-8055-5ca5cd188be3%2Fb6f7b8e.png&w=3840&q=75)
Transcribed Image Text:24. Solve the initial value problem.
2 dr
h45, r(2)5
r(t)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
From given second derivative find first derivative using integration.
Where , C=constant
![d'r
2
dt2
dr
2
dt
dt
dr
2t dt
dt
-2
dr
-2
-2
-+C
dt
dr
-t -?+C\
dt](https://content.bartleby.com/qna-images/answer/b10e0e4c-e061-4256-91c9-375d8e514bb5/ff1217c7-c717-4743-9a1a-b1a2be906260/04snu.png)
Step 2
At t=4 , dr/dt=5
From there find C
C=5.0625
![dr
=-t 2+C
dt
5=-(4)+C
C=5+(4)
C-5.0625](https://content.bartleby.com/qna-images/answer/b10e0e4c-e061-4256-91c9-375d8e514bb5/ff1217c7-c717-4743-9a1a-b1a2be906260/5c04xj.png)
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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