BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

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 .

x 4 6 8 10 12 14 16 18 20
f(x) 5 5.8 7.0 8.8 9.6 8.2 6.7 5.2 4.1

To determine

To estimate:

The work done by the force in moving an object from x=4 to x=20 by using  themidpoint rule

Explanation

1) Concept:

Use the midpoint rule to find the work done by considering four subintervals

2) Calculation:

With n=4, a=4 and b=20 the width of a sub-interval is

x=b-an

Substitute values,

x=20-44

x=4

And the midpoints are

x1-=12x0+x1=124+8=1212=6

x2-=12x1+x2=128+12=1220=10

x3-=12x2+x3=1212+16=1228=14

x4-=12x

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started
Sect-5.1 P-11ESect-5.1 P-12ESect-5.1 P-13ESect-5.1 P-14ESect-5.1 P-15ESect-5.1 P-16ESect-5.1 P-17ESect-5.1 P-18ESect-5.1 P-19ESect-5.1 P-20ESect-5.1 P-21ESect-5.1 P-22ESect-5.1 P-23ESect-5.1 P-24ESect-5.1 P-25ESect-5.1 P-26ESect-5.1 P-27ESect-5.1 P-28ESect-5.1 P-29ESect-5.1 P-30ESect-5.1 P-31ESect-5.1 P-32ESect-5.1 P-33ESect-5.1 P-34ESect-5.1 P-35ESect-5.1 P-36ESect-5.1 P-37ESect-5.1 P-38ESect-5.1 P-39ESect-5.1 P-40ESect-5.1 P-41ESect-5.1 P-42ESect-5.1 P-43ESect-5.1 P-44ESect-5.1 P-45ESect-5.1 P-46ESect-5.1 P-47ESect-5.1 P-48ESect-5.1 P-49ESect-5.1 P-50ESect-5.1 P-51ESect-5.1 P-52ESect-5.1 P-53ESect-5.1 P-54ESect-5.1 P-55ESect-5.1 P-56ESect-5.1 P-57ESect-5.1 P-58ESect-5.1 P-59ESect-5.1 P-60ESect-5.1 P-61ESect-5.1 P-62ESect-5.1 P-63ESect-5.1 P-64ESect-5.2 P-1ESect-5.2 P-2ESect-5.2 P-3ESect-5.2 P-4ESect-5.2 P-5ESect-5.2 P-6ESect-5.2 P-7ESect-5.2 P-8ESect-5.2 P-9ESect-5.2 P-10ESect-5.2 P-11ESect-5.2 P-12ESect-5.2 P-13ESect-5.2 P-14ESect-5.2 P-15ESect-5.2 P-16ESect-5.2 P-17ESect-5.2 P-18ESect-5.2 P-19ESect-5.2 P-20ESect-5.2 P-21ESect-5.2 P-22ESect-5.2 P-23ESect-5.2 P-24ESect-5.2 P-25ESect-5.2 P-26ESect-5.2 P-27ESect-5.2 P-28ESect-5.2 P-29ESect-5.2 P-30ESect-5.2 P-31ESect-5.2 P-32ESect-5.2 P-33ESect-5.2 P-34ESect-5.2 P-35ESect-5.2 P-36ESect-5.2 P-37ESect-5.2 P-38ESect-5.2 P-39ESect-5.2 P-40ESect-5.2 P-41ESect-5.2 P-42ESect-5.2 P-43ESect-5.2 P-44ESect-5.2 P-45ESect-5.2 P-46ESect-5.2 P-47ESect-5.2 P-48ESect-5.2 P-49ESect-5.2 P-50ESect-5.2 P-51ESect-5.2 P-52ESect-5.2 P-53ESect-5.2 P-54ESect-5.2 P-55ESect-5.2 P-56ESect-5.2 P-57ESect-5.2 P-58ESect-5.2 P-59ESect-5.2 P-60ESect-5.2 P-61ESect-5.2 P-62ESect-5.2 P-63ESect-5.2 P-64ESect-5.2 P-65ESect-5.2 P-66ESect-5.2 P-67ESect-5.2 P-68ESect-5.2 P-69ESect-5.2 P-70ESect-5.2 P-71ESect-5.2 P-72ESect-5.3 P-1ESect-5.3 P-2ESect-5.3 P-3ESect-5.3 P-4ESect-5.3 P-5ESect-5.3 P-6ESect-5.3 P-7ESect-5.3 P-8ESect-5.3 P-9ESect-5.3 P-10ESect-5.3 P-11ESect-5.3 P-12ESect-5.3 P-13ESect-5.3 P-14ESect-5.3 P-15ESect-5.3 P-16ESect-5.3 P-17ESect-5.3 P-18ESect-5.3 P-19ESect-5.3 P-20ESect-5.3 P-21ESect-5.3 P-22ESect-5.3 P-23ESect-5.3 P-24ESect-5.3 P-25ESect-5.3 P-26ESect-5.3 P-27ESect-5.3 P-28ESect-5.3 P-29ESect-5.3 P-30ESect-5.3 P-31ESect-5.3 P-32ESect-5.3 P-33ESect-5.3 P-34ESect-5.3 P-35ESect-5.3 P-36ESect-5.3 P-37ESect-5.3 P-38ESect-5.3 P-39ESect-5.3 P-40ESect-5.3 P-41ESect-5.3 P-42ESect-5.3 P-43ESect-5.3 P-44ESect-5.3 P-45ESect-5.3 P-46ESect-5.3 P-47ESect-5.3 P-48ESect-5.4 P-1ESect-5.4 P-2ESect-5.4 P-3ESect-5.4 P-4ESect-5.4 P-5ESect-5.4 P-6ESect-5.4 P-7ESect-5.4 P-8ESect-5.4 P-9ESect-5.4 P-10ESect-5.4 P-11ESect-5.4 P-12ESect-5.4 P-13ESect-5.4 P-14ESect-5.4 P-15ESect-5.4 P-16ESect-5.4 P-17ESect-5.4 P-18ESect-5.4 P-19ESect-5.4 P-20ESect-5.4 P-21ESect-5.4 P-22ESect-5.4 P-23ESect-5.4 P-24ESect-5.4 P-25ESect-5.4 P-26ESect-5.4 P-27ESect-5.4 P-28ESect-5.4 P-29ESect-5.4 P-30ESect-5.4 P-31ESect-5.4 P-32ESect-5.4 P-33ESect-5.4 P-34ESect-5.5 P-1ESect-5.5 P-2ESect-5.5 P-3ESect-5.5 P-4ESect-5.5 P-5ESect-5.5 P-6ESect-5.5 P-7ESect-5.5 P-8ESect-5.5 P-9ESect-5.5 P-10ESect-5.5 P-11ESect-5.5 P-12ESect-5.5 P-13ESect-5.5 P-14ESect-5.5 P-15ESect-5.5 P-16ESect-5.5 P-17ESect-5.5 P-18ESect-5.5 P-19ESect-5.5 P-20ESect-5.5 P-21ESect-5.5 P-22ESect-5.5 P-23ESect-5.5 P-24ESect-5.R P-1CCSect-5.R P-2CCSect-5.R P-3CCSect-5.R P-4CCSect-5.R P-5CCSect-5.R P-6CCSect-5.R P-1ESect-5.R P-2ESect-5.R P-3ESect-5.R P-4ESect-5.R P-5ESect-5.R P-6ESect-5.R P-7ESect-5.R P-8ESect-5.R P-9ESect-5.R P-10ESect-5.R P-11ESect-5.R P-12ESect-5.R P-13ESect-5.R P-14ESect-5.R P-15ESect-5.R P-16ESect-5.R P-17ESect-5.R P-18ESect-5.R P-19ESect-5.R P-20ESect-5.R P-21ESect-5.R P-22ESect-5.R P-23ESect-5.R P-24ESect-5.R P-25ESect-5.R P-26ESect-5.R P-27ESect-5.R P-28ESect-5.R P-29ESect-5.R P-30ESect-5.R P-31ESect-5.R P-32ESect-5.R P-33ESect-5.R P-34ESect-5.P P-1PSect-5.P P-2PSect-5.P P-3PSect-5.P P-4PSect-5.P P-5PSect-5.P P-6PSect-5.P P-7PSect-5.P P-8PSect-5.P P-9PSect-5.P P-10PSect-5.P P-11PSect-5.P P-12PSect-5.P P-13PSect-5.P P-14PSect-5.P P-15P

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Solve the equations in Exercises 126. (x2+1)x+1(x+1)3=0

Finite Mathematics and Applied Calculus (MindTap Course List)

A population of N = 7 scores has a mean of = 13. What is the value of X for this population?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises 39-44, write the equation in the slope-intercept form and then find the slope and y-intercept of t...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

6. Find the maximum value of the function subject to .

Mathematical Applications for the Management, Life, and Social Sciences

Solve the differential equation. 5. y = xesin x y cos x

Single Variable Calculus: Early Transcendentals

Sometimes, Always, or Never: fxy = fyx.

Study Guide for Stewart's Multivariable Calculus, 8th

limx1x3x21x = _____. a) 1 b) 1 c) 0 d) does not exist

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Explain the difference among the terms research strategy, research design, and research procedure.

Research Methods for the Behavioral Sciences (MindTap Course List)