?The table shows values of a force function \(f(x)\), where \(x\) is measured in meters

Chapter 5, Problem 6

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QUESTION:

The table shows values of a force function \(f(x)\), where \(x\) is measured in meters and \(f(x)\) in newtons. Use the Midpoint Rule to estimate the work done by the force in moving an object from \(x=4\) to \(x=20\)

4

6

8

10

12

14

16

18

20

5

Equation Transcription:

Text Transcription:

f(x)

x

x=4

x=20

Questions & Answers

QUESTION:

The table shows values of a force function \(f(x)\), where \(x\) is measured in meters and \(f(x)\) in newtons. Use the Midpoint Rule to estimate the work done by the force in moving an object from \(x=4\) to \(x=20\)

4

6

8

10

12

14

16

18

20

5

Equation Transcription:

Text Transcription:

f(x)

x

x=4

x=20

ANSWER:

Step 1 of 2

Equation #4 from this section:

If an object moves along the $x$-axis in the positive direction from  to  and  is a force applied on that object.

Then the work done by this force  on the object is given by

Therefore

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