24. Solve the initial value problem. 2 dr h45, r(2)5 r(t)

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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24. Solve the initial value problem.
2 dr
h45, r(2)5
r(t)
Transcribed Image Text:24. Solve the initial value problem. 2 dr h45, r(2)5 r(t)
Expert Solution
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
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
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