BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

Solutions

Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The graph of a function f is given. Estimate 0 10 f ( x ) d x using five subintervals with (a) right endpoints, (b) left endpoints, and (c) midpoints.

Chapter 5.2, Problem 5E, The graph of a function f is given. Estimate 010f(x)dxusing five subintervals with (a) right

(a)

To determine

To estimate: The value of the integral 010f(x)dx using right end points.

Explanation

Given information:

The graph of the function 010f(x)dx.

The integral function is 010f(x)dx.

Calculation:

The expression Riemann sum using right end points is shown below:

Rn=i=1nf(xi)Δx=Δx(f(x1)+.......+f(xn)) (1)

Apply the condition for Riemann sum as follows:

Δx=ban (2)

Here, width of the subinterval is Δx, the upper limit is b, the lower limit is a, the number of subinterval is n, and the right endpoint of (xi1,xi) is xi.

Find the width of the subinterval (Δx) using Equation (2) as shown below.

Consider the number of subintervals as 5.

Substitute 5 for n, 10 for b and 0 for a in Equation (2).

Δx=1005=2

Calculate the value of Riemann sum using right end points

(b):

To determine

To estimate: The value of the integral 010f(x)dx using left end points.

(c)

To determine

To estimate: The value of the integral 010f(x)dx using midpoints.

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-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-32ESect-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-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-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-5.2 P-73ESect-5.2 P-74ESect-5.2 P-75ESect-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-5.3 P-49ESect-5.3 P-50ESect-5.3 P-51ESect-5.3 P-52ESect-5.3 P-53ESect-5.3 P-54ESect-5.3 P-55ESect-5.3 P-56ESect-5.3 P-57ESect-5.3 P-58ESect-5.3 P-59ESect-5.3 P-60ESect-5.3 P-61ESect-5.3 P-62ESect-5.3 P-63ESect-5.3 P-64ESect-5.3 P-65ESect-5.3 P-66ESect-5.3 P-67ESect-5.3 P-68ESect-5.3 P-69ESect-5.3 P-70ESect-5.3 P-73ESect-5.3 P-74ESect-5.3 P-75ESect-5.3 P-76ESect-5.3 P-77ESect-5.3 P-78ESect-5.3 P-79ESect-5.3 P-80ESect-5.3 P-81ESect-5.3 P-82ESect-5.3 P-83ESect-5.3 P-84ESect-5.3 P-85ESect-5.3 P-86ESect-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-5.4 P-35ESect-5.4 P-36ESect-5.4 P-37ESect-5.4 P-38ESect-5.4 P-39ESect-5.4 P-40ESect-5.4 P-41ESect-5.4 P-42ESect-5.4 P-43ESect-5.4 P-44ESect-5.4 P-45ESect-5.4 P-46ESect-5.4 P-47ESect-5.4 P-48ESect-5.4 P-49ESect-5.4 P-50ESect-5.4 P-51ESect-5.4 P-52ESect-5.4 P-53ESect-5.4 P-54ESect-5.4 P-55ESect-5.4 P-56ESect-5.4 P-57ESect-5.4 P-58ESect-5.4 P-59ESect-5.4 P-60ESect-5.4 P-61ESect-5.4 P-62ESect-5.4 P-63ESect-5.4 P-64ESect-5.4 P-65ESect-5.4 P-66ESect-5.4 P-67ESect-5.4 P-68ESect-5.4 P-69ESect-5.4 P-70ESect-5.4 P-71ESect-5.4 P-72ESect-5.4 P-73ESect-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-5.5 P-25ESect-5.5 P-26ESect-5.5 P-27ESect-5.5 P-28ESect-5.5 P-29ESect-5.5 P-30ESect-5.5 P-31ESect-5.5 P-32ESect-5.5 P-33ESect-5.5 P-34ESect-5.5 P-35ESect-5.5 P-36ESect-5.5 P-37ESect-5.5 P-38ESect-5.5 P-39ESect-5.5 P-40ESect-5.5 P-41ESect-5.5 P-42ESect-5.5 P-43ESect-5.5 P-44ESect-5.5 P-45ESect-5.5 P-46ESect-5.5 P-47ESect-5.5 P-48ESect-5.5 P-49ESect-5.5 P-50ESect-5.5 P-51ESect-5.5 P-52ESect-5.5 P-53ESect-5.5 P-54ESect-5.5 P-55ESect-5.5 P-56ESect-5.5 P-57ESect-5.5 P-58ESect-5.5 P-59ESect-5.5 P-60ESect-5.5 P-61ESect-5.5 P-62ESect-5.5 P-63ESect-5.5 P-64ESect-5.5 P-65ESect-5.5 P-66ESect-5.5 P-67ESect-5.5 P-68ESect-5.5 P-69ESect-5.5 P-70ESect-5.5 P-71ESect-5.5 P-72ESect-5.5 P-73ESect-5.5 P-74ESect-5.5 P-75ESect-5.5 P-76ESect-5.5 P-77ESect-5.5 P-78ESect-5.5 P-79ESect-5.5 P-80ESect-5.5 P-81ESect-5.5 P-82ESect-5.5 P-83ESect-5.5 P-84ESect-5.5 P-85ESect-5.5 P-86ESect-5.5 P-87ESect-5.5 P-88ESect-5.5 P-89ESect-5.5 P-90ESect-5.5 P-91ESect-5.5 P-92ESect-5.5 P-93ESect-5.5 P-94ECh-5 P-1RCCCh-5 P-2RCCCh-5 P-3RCCCh-5 P-4RCCCh-5 P-5RCCCh-5 P-6RCCCh-5 P-7RCCCh-5 P-8RCCCh-5 P-9RCCCh-5 P-1RQCh-5 P-2RQCh-5 P-3RQCh-5 P-4RQCh-5 P-5RQCh-5 P-6RQCh-5 P-7RQCh-5 P-8RQCh-5 P-9RQCh-5 P-10RQCh-5 P-11RQCh-5 P-12RQCh-5 P-13RQCh-5 P-14RQCh-5 P-15RQCh-5 P-16RQCh-5 P-17RQCh-5 P-18RQCh-5 P-1RECh-5 P-2RECh-5 P-3RECh-5 P-4RECh-5 P-5RECh-5 P-6RECh-5 P-7RECh-5 P-8RECh-5 P-9RECh-5 P-10RECh-5 P-11RECh-5 P-12RECh-5 P-13RECh-5 P-14RECh-5 P-15RECh-5 P-16RECh-5 P-17RECh-5 P-18RECh-5 P-19RECh-5 P-20RECh-5 P-21RECh-5 P-22RECh-5 P-23RECh-5 P-24RECh-5 P-25RECh-5 P-26RECh-5 P-27RECh-5 P-28RECh-5 P-29RECh-5 P-30RECh-5 P-31RECh-5 P-32RECh-5 P-33RECh-5 P-34RECh-5 P-35RECh-5 P-36RECh-5 P-37RECh-5 P-38RECh-5 P-39RECh-5 P-40RECh-5 P-41RECh-5 P-42RECh-5 P-43RECh-5 P-44RECh-5 P-45RECh-5 P-46RECh-5 P-47RECh-5 P-48RECh-5 P-49RECh-5 P-50RECh-5 P-51RECh-5 P-52RECh-5 P-53RECh-5 P-54RECh-5 P-55RECh-5 P-56RECh-5 P-57RECh-5 P-58RECh-5 P-59RECh-5 P-60RECh-5 P-61RECh-5 P-62RECh-5 P-63RECh-5 P-66RECh-5 P-69RECh-5 P-70RECh-5 P-71RECh-5 P-72RECh-5 P-1PCh-5 P-2PCh-5 P-3PCh-5 P-5PCh-5 P-6PCh-5 P-7PCh-5 P-8PCh-5 P-9PCh-5 P-10PCh-5 P-11PCh-5 P-14PCh-5 P-15PCh-5 P-18PCh-5 P-19P

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 4756, solve the given equation for the indicated variable. 81=3x

Finite Mathematics and Applied Calculus (MindTap Course List)

Find the mean, median, and mode for the following scores; 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7

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

In Exercises 27-30, find an equation of the line that passes through the point and has the indicated slope m. 2...

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

In problems 7-12, evaluate each algebraic expression at the indicated values of the variables. 9. at and

Mathematical Applications for the Management, Life, and Social Sciences

Using for |x| < 1 and differentiation, find a power series for .

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

Simplify. 25a2b(2a2ba+b2)

Mathematics For Machine Technology