Answered: 5 Consider the function f(x) = 8 Let…

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5 Consider the function f(x) = 8 Let F(x) be the antiderivative of f(x) with F(1) = 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.4: Linear Programming

Problem 1E

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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

Then F(x)=_________

5
Consider the function f(x) =
8
Let F(x) be the antiderivative of f(x) with F(1) = 0

Expert Solution

Step 1

The antiderivative of the given function is:

F(x)f(x)c
5
F(x)=
8
5
=55x"dx-8dx
- +c
n+1
-
-
.-3+1
= 5
-3 1
8
-6+1
x
- 8
-5
= 5
-2
+c
5
2x25x

Step 2

Now from the given condition F (1) = 0

5
8
F(x)
5x
F (1) 0
5
+c 0.
2 5
9
-+c = 0 c =
10
-25 16
F (1)
10

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Solved in 3 steps with 3 images

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