menu
bartleby
search
close search
Hit Return to see all results
Subscribe
Sign in

Math
CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

close solutoin list
Chapter 6, Problem 11TYS
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
Problem 1RE
Problem 2RE
Problem 3RE
Problem 4RE
Problem 5RE
Problem 6RE
Problem 7RE
Problem 8RE
Problem 9RE
Problem 10RE
Problem 11RE
Problem 12RE
Problem 13RE
Problem 14RE
Problem 15RE
Problem 16RE
Problem 17RE
Problem 18RE
Problem 19RE
Problem 20RE
Problem 21RE
Problem 22RE
Problem 23RE
Problem 24RE
Problem 25RE
Problem 26RE
Problem 27RE
Problem 28RE
Problem 29RE
Problem 30RE
Problem 31RE
Problem 32RE
Problem 33RE
Problem 34RE
Problem 35RE
Problem 36RE
Problem 37RE
Problem 38RE
Problem 39RE
Problem 40RE
Problem 41RE
Problem 42RE
Problem 43RE
Problem 44RE
Problem 45RE
Problem 46RE
Problem 47RE
Problem 48RE
Problem 49RE
Problem 50RE
Problem 51RE
Problem 52RE
Problem 53RE
Problem 54RE
Problem 55RE
Problem 56RE
Problem 57RE
Problem 58RE
Problem 59RE
Problem 60RE
Problem 61RE
Problem 62RE
Problem 63RE
Problem 64RE
Problem 1TYS
Problem 2TYS
Problem 3TYS
Problem 4TYS
Problem 5TYS
Problem 6TYS
Problem 7TYS
Problem 8TYS
Problem 9TYS
Problem 10TYS
Problem 11TYS
Problem 12TYS
Problem 13TYS
Problem 14TYS
Problem 15TYS
Problem 16TYS
Problem 17TYS
Problem 18TYS
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

Use Simpson’s Rule with n   = 4 to approximate

∫ 2 5 ( x 2 − 2 x )   d x .

Compare your result with the exact value of the definite integral.

To determine

To calculate: The approximate value of ∫25(x2−2x)dx using the Trapezoidal Rule with n=4 and compare the result with the exact value of the definite integral.

Explanation

Given Information:

The definite integral is ∫25(x2−2x)dx,n=4.

Formula used:

Trapezoidal Rule:

If a function f is continuous on [a,b], then

∫abf(x)dx=(b−a2n)[f(x0)+2f(x1)+⋯+2f(xn−1)+f(xn)]

Calculation:

Calculation to get exact value:

Consider the definite integral ∫25(x2−2x)dx.

∫25(x2−2x)dx=[x33−2x22]25=[x33−x2]25=13(5)3−(5)2−13(2)3+(2)2=13×125−25−83+4

Simplify as:

∫25(x2−2x)dx=125−75−8+123=137−833=543=18

Therefore, the exact value of the integral is 18.

Calculation by Trapezoidal Rule:

Consider the definite integral ∫25(x2−2x)dx

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 6,
Problem 10TYS
Chapter 6,
Problem 12TYS
arrow_forward

The Solution to Your Study Problems

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

Get Started

Chapter 6 Solutions

Show all chapter solutions add
Sect-6.1 P-1CPSect-6.1 P-2CPSect-6.1 P-3CPSect-6.1 P-4CPSect-6.1 P-5CPSect-6.1 P-6CPSect-6.1 P-7CPSect-6.1 P-1SWUSect-6.1 P-2SWUSect-6.1 P-3SWU
Sect-6.1 P-4SWUSect-6.1 P-5SWUSect-6.1 P-6SWUSect-6.1 P-7SWUSect-6.1 P-8SWUSect-6.1 P-9SWUSect-6.1 P-10SWUSect-6.1 P-1ESect-6.1 P-2ESect-6.1 P-3ESect-6.1 P-4ESect-6.1 P-5ESect-6.1 P-6ESect-6.1 P-7ESect-6.1 P-8ESect-6.1 P-9ESect-6.1 P-10ESect-6.1 P-11ESect-6.1 P-12ESect-6.1 P-13ESect-6.1 P-14ESect-6.1 P-15ESect-6.1 P-16ESect-6.1 P-17ESect-6.1 P-18ESect-6.1 P-19ESect-6.1 P-20ESect-6.1 P-21ESect-6.1 P-22ESect-6.1 P-23ESect-6.1 P-24ESect-6.1 P-25ESect-6.1 P-26ESect-6.1 P-27ESect-6.1 P-28ESect-6.1 P-29ESect-6.1 P-30ESect-6.1 P-31ESect-6.1 P-32ESect-6.1 P-33ESect-6.1 P-34ESect-6.1 P-35ESect-6.1 P-36ESect-6.1 P-37ESect-6.1 P-38ESect-6.1 P-39ESect-6.1 P-40ESect-6.1 P-41ESect-6.1 P-42ESect-6.1 P-43ESect-6.1 P-44ESect-6.1 P-45ESect-6.1 P-46ESect-6.1 P-47ESect-6.1 P-48ESect-6.1 P-49ESect-6.1 P-50ESect-6.1 P-51ESect-6.1 P-52ESect-6.1 P-53ESect-6.1 P-54ESect-6.1 P-55ESect-6.1 P-56ESect-6.1 P-57ESect-6.1 P-58ESect-6.1 P-59ESect-6.1 P-60ESect-6.1 P-61ESect-6.1 P-62ESect-6.1 P-63ESect-6.1 P-64ESect-6.1 P-65ESect-6.1 P-66ESect-6.1 P-67ESect-6.1 P-68ESect-6.1 P-69ESect-6.1 P-70ESect-6.1 P-71ESect-6.1 P-72ESect-6.1 P-73ESect-6.1 P-74ESect-6.1 P-75ESect-6.1 P-76ESect-6.1 P-77ESect-6.1 P-78ESect-6.1 P-79ESect-6.1 P-80ESect-6.1 P-81ESect-6.1 P-82ESect-6.2 P-1CPSect-6.2 P-2CPSect-6.2 P-3CPSect-6.2 P-4CPSect-6.2 P-5CPSect-6.2 P-6CPSect-6.2 P-1SWUSect-6.2 P-2SWUSect-6.2 P-3SWUSect-6.2 P-4SWUSect-6.2 P-5SWUSect-6.2 P-6SWUSect-6.2 P-1ESect-6.2 P-2ESect-6.2 P-3ESect-6.2 P-4ESect-6.2 P-5ESect-6.2 P-6ESect-6.2 P-7ESect-6.2 P-8ESect-6.2 P-9ESect-6.2 P-10ESect-6.2 P-11ESect-6.2 P-12ESect-6.2 P-13ESect-6.2 P-14ESect-6.2 P-15ESect-6.2 P-16ESect-6.2 P-17ESect-6.2 P-18ESect-6.2 P-19ESect-6.2 P-20ESect-6.2 P-21ESect-6.2 P-22ESect-6.2 P-23ESect-6.2 P-24ESect-6.2 P-25ESect-6.2 P-26ESect-6.2 P-27ESect-6.2 P-28ESect-6.2 P-29ESect-6.2 P-30ESect-6.2 P-31ESect-6.2 P-32ESect-6.2 P-33ESect-6.2 P-34ESect-6.2 P-35ESect-6.2 P-36ESect-6.2 P-37ESect-6.2 P-38ESect-6.2 P-39ESect-6.2 P-40ESect-6.2 P-41ESect-6.2 P-42ESect-6.2 P-43ESect-6.2 P-44ESect-6.2 P-45ESect-6.2 P-46ESect-6.2 P-47ESect-6.2 P-48ESect-6.2 P-49ESect-6.2 P-50ESect-6.2 P-51ESect-6.2 P-52ESect-6.2 P-53ESect-6.2 P-54ESect-6.2 P-55ESect-6.2 P-56ESect-6.2 P-57ESect-6.2 P-58ESect-6.2 P-59ESect-6.2 P-60ESect-6.2 P-61ESect-6.2 P-1QYSect-6.2 P-2QYSect-6.2 P-3QYSect-6.2 P-4QYSect-6.2 P-5QYSect-6.2 P-6QYSect-6.2 P-7QYSect-6.2 P-8QYSect-6.2 P-9QYSect-6.2 P-10QYSect-6.2 P-11QYSect-6.2 P-12QYSect-6.2 P-13QYSect-6.2 P-14QYSect-6.2 P-15QYSect-6.2 P-16QYSect-6.2 P-17QYSect-6.2 P-18QYSect-6.2 P-19QYSect-6.2 P-20QYSect-6.2 P-21QYSect-6.3 P-1CPSect-6.3 P-2CPSect-6.3 P-3CPSect-6.3 P-1SWUSect-6.3 P-2SWUSect-6.3 P-3SWUSect-6.3 P-4SWUSect-6.3 P-5SWUSect-6.3 P-6SWUSect-6.3 P-7SWUSect-6.3 P-8SWUSect-6.3 P-9SWUSect-6.3 P-10SWUSect-6.3 P-1ESect-6.3 P-2ESect-6.3 P-3ESect-6.3 P-4ESect-6.3 P-5ESect-6.3 P-6ESect-6.3 P-7ESect-6.3 P-8ESect-6.3 P-9ESect-6.3 P-10ESect-6.3 P-11ESect-6.3 P-12ESect-6.3 P-13ESect-6.3 P-14ESect-6.3 P-15ESect-6.3 P-16ESect-6.3 P-17ESect-6.3 P-18ESect-6.3 P-19ESect-6.3 P-20ESect-6.3 P-31ESect-6.3 P-32ESect-6.3 P-33ESect-6.3 P-34ESect-6.3 P-35ESect-6.3 P-36ESect-6.3 P-37ESect-6.3 P-38ESect-6.3 P-39ESect-6.3 P-40ESect-6.3 P-43ESect-6.3 P-44ESect-6.3 P-45ESect-6.3 P-46ESect-6.3 P-47ESect-6.3 P-48ESect-6.4 P-1CPSect-6.4 P-2CPSect-6.4 P-3CPSect-6.4 P-4CPSect-6.4 P-5CPSect-6.4 P-1SWUSect-6.4 P-2SWUSect-6.4 P-3SWUSect-6.4 P-4SWUSect-6.4 P-5SWUSect-6.4 P-6SWUSect-6.4 P-7SWUSect-6.4 P-8SWUSect-6.4 P-9SWUSect-6.4 P-10SWUSect-6.4 P-1ESect-6.4 P-2ESect-6.4 P-3ESect-6.4 P-4ESect-6.4 P-5ESect-6.4 P-6ESect-6.4 P-7ESect-6.4 P-8ESect-6.4 P-9ESect-6.4 P-10ESect-6.4 P-11ESect-6.4 P-12ESect-6.4 P-13ESect-6.4 P-14ESect-6.4 P-15ESect-6.4 P-16ESect-6.4 P-17ESect-6.4 P-18ESect-6.4 P-19ESect-6.4 P-20ESect-6.4 P-21ESect-6.4 P-22ESect-6.4 P-23ESect-6.4 P-24ESect-6.4 P-25ESect-6.4 P-26ESect-6.4 P-27ESect-6.4 P-28ESect-6.4 P-29ESect-6.4 P-30ESect-6.4 P-31ESect-6.4 P-32ESect-6.4 P-33ESect-6.4 P-34ESect-6.4 P-35ESect-6.4 P-36ESect-6.4 P-37ESect-6.4 P-38ESect-6.4 P-39ESect-6.4 P-40ESect-6.4 P-41ESect-6.4 P-42ECh-6 P-1RECh-6 P-2RECh-6 P-3RECh-6 P-4RECh-6 P-5RECh-6 P-6RECh-6 P-7RECh-6 P-8RECh-6 P-9RECh-6 P-10RECh-6 P-11RECh-6 P-12RECh-6 P-13RECh-6 P-14RECh-6 P-15RECh-6 P-16RECh-6 P-17RECh-6 P-18RECh-6 P-19RECh-6 P-20RECh-6 P-21RECh-6 P-22RECh-6 P-23RECh-6 P-24RECh-6 P-25RECh-6 P-26RECh-6 P-27RECh-6 P-28RECh-6 P-29RECh-6 P-30RECh-6 P-31RECh-6 P-32RECh-6 P-33RECh-6 P-34RECh-6 P-35RECh-6 P-36RECh-6 P-37RECh-6 P-38RECh-6 P-39RECh-6 P-40RECh-6 P-41RECh-6 P-42RECh-6 P-43RECh-6 P-44RECh-6 P-45RECh-6 P-46RECh-6 P-47RECh-6 P-48RECh-6 P-49RECh-6 P-50RECh-6 P-51RECh-6 P-52RECh-6 P-53RECh-6 P-54RECh-6 P-55RECh-6 P-56RECh-6 P-57RECh-6 P-58RECh-6 P-59RECh-6 P-60RECh-6 P-61RECh-6 P-62RECh-6 P-63RECh-6 P-64RECh-6 P-1TYSCh-6 P-2TYSCh-6 P-3TYSCh-6 P-4TYSCh-6 P-5TYSCh-6 P-6TYSCh-6 P-7TYSCh-6 P-8TYSCh-6 P-9TYSCh-6 P-10TYSCh-6 P-11TYSCh-6 P-12TYSCh-6 P-13TYSCh-6 P-14TYSCh-6 P-15TYSCh-6 P-16TYSCh-6 P-17TYSCh-6 P-18TYS

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

The Existence of an Inverse Function In Exercises 91-94, determine whether the function is one-to-one on its en...

Calculus: Early Transcendental Functions

Calculate each expression in Exercises 124, giving the answer as a whole number or a fraction in lowest terms. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

A lamina with constant density (x, y) = occupies the given region. Find the moments of inertia lx and Iy and ...

Calculus: Early Transcendentals

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard funct...

Single Variable Calculus: Early Transcendentals, Volume I

If a function of one variable is continuous on an interval and has only one critical number, then a local maxim...

Multivariable Calculus

Intervals Express the inequality in interval notation, and then graph the corresponding interval. 55. 2 x 1

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 1316, find the distance between the given pairs of points. (1,0)and(6,1)

Applied Calculus

SOC The following table lists the approximate number of cars per 1000 population for 15 nations. Compute the me...

Essentials Of Statistics

A set of scores ranges from a high of X = 96 to a low of X = 27. If these scores are placed in a grouped freque...

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

In Exercises 39-50, sketch the graph of the function with the given rule. Find the domain and range of the func...

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

Graph the given functions on a common screen. How are these graphs related? y=0.9x,y=0.6x,y=0.3x,y=0.1x

Calculus (MindTap Course List)

Critical Thinking Suppose you are assigned the number 1, and the other students in your statistics class call o...

Understanding Basic Statistics

For each of the following, calculate the pooled variance and the estimated standard error for the sample mean d...

Statistics for The Behavioral Sciences (MindTap Course List)

Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six dec...

Single Variable Calculus

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Finite Mathematics

Pascals Triangle The triangular pattern in the following figure is known as Pascals triangle. Pascal's triangle...

Mathematical Excursions (MindTap Course List)

In problems 23-58, perform the indicated operations and simplify. 23.

Mathematical Applications for the Management, Life, and Social Sciences

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed wit...

Probability and Statistics for Engineering and the Sciences

For Problems 79-99, answer the question with an algebraic expression. Objective 3 The difference of two numbers...

Intermediate Algebra

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle i...

Single Variable Calculus: Early Transcendentals

In Exercises 9 to 28, use the drawings as needed to answer the following questions. Consider the figure for Exe...

Elementary Geometry For College Students, 7e

Solve each equation and check: x5+4=9

Elementary Technical Mathematics

Find all rational zeros of each of the polynomial in Exercise.

Elements Of Modern Algebra

For the following expressions, find the value of y that corresponds to each value of x, then write your results...

Trigonometry (MindTap Course List)

What are the discount date and the net date of an invoice dated October 11 if the shipment arrives on December ...

Contemporary Mathematics for Business & Consumers

Proof Prove that sinasinbab for all a and b.

Calculus: Early Transcendental Functions (MindTap Course List)

Finding a Pattern In Exercises 125 and 126, find the derivatives of the function f for n=1,2,3, and 4. Use the ...

Calculus of a Single Variable

SAVINGS PLANS The parents of a 9-year-old boy have agreed to deposit 10 in their sons bank account on his 10th ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Use theorem 5.4.3 to form a proportion in which RS is a geometric mean. Hint RVSRST Exercises 1-6

Elementary Geometry for College Students

Suppose . Then F(x)g(x) + C f′(g(x)) + C F(g′(x)) + C F(g(x)) + C

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

Completing the Square In Exercises 35-42, find or evaluate the integral by completing the square. dx3x26x+12

Calculus (MindTap Course List)

Finding the Sum of a Series In Exercises 97-102, find the sum of the convergent series by using a well-known fu...

Calculus

Sometimes, Always, or Never: fxy = fyx.

Study Guide for Stewart's Multivariable Calculus, 8th

Evaluating a Line Integral of a Vector Field In Exercises 29-34, evaluate cFdr. F(x,y)=xi+yjC:r(t)=(3t+1)i+tj,0...

Multivariable Calculus

Define the concept of internal validity and a threat to internal validity.

Research Methods for the Behavioral Sciences (MindTap Course List)

Select 10 additional random samples of size 5 from the population of 20 students given in Example 8.1, and calc...

Introduction To Statistics And Data Analysis

In Exercises 31-38, write a sentence that represents the negation of each statement. Jesse had a party and nobo...

Mathematics: A Practical Odyssey

The following data arc from a completely randomized design. Treatment Treatment Treatment A B C 32 44 33 30 43 ...

Statistics for Business & Economics, Revised (MindTap Course List)

The Ladies Professional Golfers Association (LPGA) maintains statistics on performance and earnings for members...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Subtract the following expressions as indicated. (9.08e+14.76f)(ef10.03)

Mathematics For Machine Technology

Most research in the behavioral sciences involves gathering information from a group of participants. However, ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Determine if the statement is true or false. If the statement is false, then correct it and make it true. Mathe...

College Algebra (MindTap Course List)

bartleby
© bartleby 2019