Skip to main content

Math Calculus Essential Calculus: Early Transcendentals

The Riemann sum of the function f ( x ) = x 3 , − 1 ≤ x ≤ 1 when the partition points − 1 , − 0.5 , 0 , 0.5 , 1 and the sample points − 1 , − 0.4 , 0.2 , 1 are given.

The Riemann sum of the function f ( x ) = x 3 , − 1 ≤ x ≤ 1 when the partition points − 1 , − 0.5 , 0 , 0.5 , 1 and the sample points − 1 , − 0.4 , 0.2 , 1 are given.

Solution Summary: The author explains the Riemann sum of the function f(x)=x

Essential Calculus: Early Transcendentals

Essential Calculus: Early Transcendentals

2nd Edition

ISBN: 9781133112280

Author: James Stewart

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence t…

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Videos

Question

Chapter 5.2, Problem 5E

To determine

The Riemann sum of the function f(x)=x3, −1≤x≤1 when the partition points −1,−0.5,0,0.5,1 and the sample points −1,−0.4,0.2,1 are given.

Expert Solution & Answer

bartleby

Trending nowThis is a popular solution!

Check out sample textbook solution

Blurred answer

Chapter 5.2, Problem 4E

Chapter 5.2, Problem 6E

Students have asked these similar questions

5. let X1 and X2 have the joint pdf f(x1,x2) = x1+ x2, 0 < x1 < 1, 0 < x2 < 1. Find the conditional mean and variance of X2 given X1 = x1, 0 < x1 < 1.

Q. 1.4 Let X, X2, X3, X, U(0,0) and let Y 1. We reject Ho if Y, 2 c. Find the constant e so that a = 0.05. Find the power function of the test.

Topic: Relationship of Two Variables: Scatterplot, Linear Correlation and Degree of Determination Suppose that data on a random sample of used cars of the same brand and model on mileage (in kilometers) and prices (in pesos) were collected and tabulated, as shown below. Price (in Mileage (in km) pesos) ху x2 (x1000) (x 10,000) 50 50 45 55 60 45 38 55 28 60 29 60 51 50 40 55 100 30 72 38

Chapter 5 Solutions

Essential Calculus: Early Transcendentals

Ch. 5.1 - Prob. 1E Ch. 5.1 - (a) Use six rectangles to find estimates of each...Ch. 5.1 - (a) Estimate the area under the graph of f(x)=x...Ch. 5.1 - Prob. 3E Ch. 5.1 - (a) Estimate the area under the graph of f(x) = 1...Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - The speed of a runner increased steadily during...Ch. 5.1 - Speedometer readings for a motorcycle at 12-second...

Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - The velocity graph of a braking car is shown. Use...Ch. 5.1 - Prob. 14E Ch. 5.1 - Use Definition 2 to find an expression for the...Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - (a) Let An be the area of a polygon with n equal...Ch. 5.2 - Evaluate the Riemann sum for f(x)=312x,2x14, with...Ch. 5.2 - Prob. 2E Ch. 5.2 - If f(x)=ex2, 0 x 2, find the Riemann sum with n...Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Find the Riemann sum for f (x) = x + x2, 2x0, if...Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Express the limit as a definite integral on the...Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Use the form of the definition of the integral...Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - 25–26 Express the integral as a limit of Riemann...Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Evaluate the integral by interpreting it in terms...Ch. 5.2 - Evaluate the integral by interpreting it in terms...Ch. 5.2 - 31–36 Evaluate the integral by interpreting it in...Ch. 5.2 - 3136 Evaluate the integral by interpreting it in...Ch. 5.2 - Evaluate sin2xcos4xdx.Ch. 5.2 - Given that 013xx2+4dx=558, what is 103uu2+4du?Ch. 5.2 - Write as a single integral in the form abf(x)dx:...Ch. 5.2 - If 15f(x)dx=12 and 45f(x)dx=3.6, find 14f(x)dx.Ch. 5.2 - If 09f(x)dx=37 and 09g(x)dx=16, find...Ch. 5.2 - Find 05f(x)dx if f(x)={3forx3xforx3 Ch. 5.2 - In Example 2 in Section 5.1 we showed that...Ch. 5.2 - If , F(x)=2xf(t)dt, where f is the function whose...Ch. 5.2 - Prob. 45E Ch. 5.2 - Prob. 46E Ch. 5.2 - Prob. 47E Ch. 5.2 - Use Property 8 to estimate the value of the...Ch. 5.2 - Use Property 8 to estimate the value of the...Ch. 5.2 - 61. Use Property 8 to estimate the value of the...Ch. 5.2 - Use Property 8 to estimate the value of the...Ch. 5.2 - Use Property 8 to estimate the value of the...Ch. 5.2 - Express the limit as a definite integral....Ch. 5.3 - 32. Evaluate the integral. Ch. 5.3 - Evaluate the integral. 01coshtdt Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - Prob. 37E Ch. 5.3 - Prob. 38E Ch. 5.3 - Prob. 31E Ch. 5.3 - Prob. 33E Ch. 5.3 - Prob. 34E Ch. 5.3 - Prob. 39E Ch. 5.3 - Prob. 40E Ch. 5.3 - Prob. 69E Ch. 5.3 - Prob. 32E Ch. 5.3 - Prob. 70E Ch. 5.3 - Prob. 45E Ch. 5.3 - Find the general indefinite integral. (x3+x23)dx Ch. 5.3 - Prob. 46E Ch. 5.3 - Prob. 47E Ch. 5.3 - Prob. 43E Ch. 5.3 - Prob. 48E Ch. 5.3 - Prob. 41E Ch. 5.3 - Prob. 42E Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - Prob. 7E Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Prob. 10E Ch. 5.3 - Prob. 11E Ch. 5.3 - Evaluate the integral. 14yyy2dy Ch. 5.3 - Prob. 13E Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 49E Ch. 5.3 - Prob. 50E Ch. 5.3 - Prob. 51E Ch. 5.3 - Prob. 52E Ch. 5.3 - Prob. 53E Ch. 5.3 - Prob. 54E Ch. 5.3 - Prob. 55E Ch. 5.3 - Prob. 56E Ch. 5.3 - Prob. 57E Ch. 5.3 - Prob. 58E Ch. 5.3 - Prob. 59E Ch. 5.3 - 5960 The velocity function (in meters per second)...Ch. 5.3 - Prob. 61E Ch. 5.3 - Prob. 62E Ch. 5.3 - Prob. 65E Ch. 5.3 - Prob. 63E Ch. 5.3 - Prob. 64E Ch. 5.3 - Prob. 66E Ch. 5.3 - Prob. 67E Ch. 5.3 - Prob. 68E Ch. 5.4 - Let g(x)=0xf(t)dt, where f is the function whose...Ch. 5.4 - Let g(x)=0xf(t)dt, where f is the function whose...Ch. 5.4 - Sketch the area represented by g(x). Then find...Ch. 5.4 - Prob. 4E Ch. 5.4 - Use Part 1 of the Fundamental Theorem of Calculus...Ch. 5.4 - Use Part 1 of the Fundamental Theorem of Calculus...Ch. 5.4 - Use Part 1 of the Fundamental Theorem of Calculus...Ch. 5.4 - 514 Use Part 1 of the Fundamental Theorem of...Ch. 5.4 - Use Part 1 of the Fundamental Theorem of Calculus...Ch. 5.4 - 514 Use Part 1 of the Fundamental Theorem of...Ch. 5.4 - 514 Use Part 1 of the Fundamental Theorem of...Ch. 5.4 - Use Part 1 of the Fundamental Theorem of Calculus...Ch. 5.4 - Find the derivative of the function....Ch. 5.4 - 514 Use Part 1 of the Fundamental Theorem of...Ch. 5.4 - On what interval is the curve y=0xt2t2+t+2dt...Ch. 5.4 - Prob. 24E Ch. 5.4 - Prob. 27E Ch. 5.4 - Prob. 28E Ch. 5.4 - Prob. 25E Ch. 5.4 - Prob. 26E Ch. 5.4 - Find a function f and a number a such that...Ch. 5.4 - A manufacturing company owns a major piece of...Ch. 5.4 - A high-tech company purchases a new computing...Ch. 5.4 - Find the average value of the function on the...Ch. 5.4 - 15-18 Find the average value of the function on...Ch. 5.4 - Find the average value of the function on the...Ch. 5.4 - Find the average value of the function on the...Ch. 5.4 - Prob. 19E Ch. 5.4 - Prob. 20E Ch. 5.4 - Prob. 21E Ch. 5.4 - Prob. 22E Ch. 5.5 - Evaluate the integral by making the given...Ch. 5.5 - Prob. 2E Ch. 5.5 - Prob. 3E Ch. 5.5 - Prob. 4E Ch. 5.5 - Prob. 5E Ch. 5.5 - Prob. 6E Ch. 5.5 - Prob. 7E Ch. 5.5 - Evaluate the indefinite integral. x2ex3dx Ch. 5.5 - Prob. 9E Ch. 5.5 - Prob. 10E Ch. 5.5 - Evaluate the indefinite integral. (lnx)2xdx Ch. 5.5 - Prob. 12E Ch. 5.5 - Prob. 13E Ch. 5.5 - Prob. 14E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 25E Ch. 5.5 - Evaluate the indefinite integral. sinh2xcoshxdx Ch. 5.5 - Evaluate the indefinite integral. sin(lnx)xdx Ch. 5.5 - Prob. 23E Ch. 5.5 - Prob. 24E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - Prob. 28E Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 36E Ch. 5.5 - Evaluate the indefinite integral. 1+x1+x2dx Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Evaluate the definite integral. 011+7x3dx Ch. 5.5 - Evaluate the definite integral. 03dx5x+1 Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 48E Ch. 5.5 - Evaluate the definite integral. ee4dxxlnx Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 47E Ch. 5.5 - Evaluate the indefinite integral. /2/2x2sinx1+x6dx Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 57E Ch. 5.5 - 78. Evaluate by making a substitution and...Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - Prob. 65E Ch. 5.5 - Prob. 66E Ch. 5.5 - 89. If f is continuous on , prove that For the...Ch. 5.5 - Prob. 68E Ch. 5.5 - Prob. 69E Ch. 5.5 - Find the average value of the function on the...Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 56E Ch. 5.5 - Find the average value of the function on the...Ch. 5 - Prob. 1RCC Ch. 5 - Prob. 2RCC Ch. 5 - Prob. 3RCC Ch. 5 - Prob. 6RCC Ch. 5 - Prob. 4RCC Ch. 5 - Prob. 7RCC Ch. 5 - Prob. 5RCC Ch. 5 - Prob. 9RCC Ch. 5 - Prob. 10RCC Ch. 5 - Prob. 1RQ Ch. 5 - Prob. 2RQ Ch. 5 - Prob. 3RQ Ch. 5 - Prob. 4RQ Ch. 5 - Prob. 5RQ Ch. 5 - Prob. 6RQ Ch. 5 - Prob. 7RQ Ch. 5 - Prob. 8RQ Ch. 5 - Determine whether the statement is true or false....Ch. 5 - Prob. 10RQ Ch. 5 - Prob. 11RQ Ch. 5 - Prob. 12RQ Ch. 5 - Prob. 13RQ Ch. 5 - 14. Determine whether the statement is true or...Ch. 5 - Prob. 15RQ Ch. 5 - Prob. 16RQ Ch. 5 - Determine whether the statement is true or false....Ch. 5 - Prob. 18RQ Ch. 5 - Prob. 1RE Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - Evaluate the integral, if it exists. 01(1x9)dx Ch. 5 - Prob. 10RE Ch. 5 - Prob. 11RE Ch. 5 - Prob. 12RE Ch. 5 - Prob. 13RE Ch. 5 - Prob. 14RE Ch. 5 - Prob. 16RE Ch. 5 - Prob. 15RE Ch. 5 - Prob. 18RE Ch. 5 - Evaluate the integral, if it exists....Ch. 5 - Prob. 20RE Ch. 5 - Prob. 19RE Ch. 5 - Prob. 21RE Ch. 5 - Prob. 22RE Ch. 5 - Prob. 23RE Ch. 5 - Prob. 24RE Ch. 5 - Prob. 25RE Ch. 5 - Evaluate the integral, if it exists. cos(lnx)xdx Ch. 5 - Prob. 27RE Ch. 5 - Prob. 28RE Ch. 5 - Prob. 29RE Ch. 5 - Prob. 30RE Ch. 5 - Prob. 31RE Ch. 5 - Prob. 32RE Ch. 5 - Prob. 33RE Ch. 5 - Prob. 34RE Ch. 5 - Prob. 35RE Ch. 5 - Prob. 36RE Ch. 5 - Prob. 37RE Ch. 5 - Prob. 38RE Ch. 5 - Prob. 39RE Ch. 5 - Prob. 40RE Ch. 5 - Prob. 41RE Ch. 5 - A particle moves along a line with velocity...Ch. 5 - Prob. 43RE Ch. 5 - Prob. 44RE Ch. 5 - Prob. 45RE Ch. 5 - Prob. 48RE Ch. 5 - Prob. 49RE Ch. 5 - Prob. 50RE Ch. 5 - Prob. 8RCC Ch. 5 - Prob. 46RE Ch. 5 - If f is a continuous function, what is the limit...

Knowledge Booster

Background pattern image

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

76. Let ī, and s denote the sample mean and variance for the sample x1, ... , X, and let īp+1 and s denote these quantities when an additional obser- vation x41 is added to the sample. a. Show how xp+1 can be computed from x, and 'n+1 Xn+1. b. Show that ns = (n – 1)s, +- - (xn+1 – Xn)² n+1 so that s can be computed from x,„41, Xn, and s?. 'n+1 c. Suppose that a sample of 15 strands of drapery yarn has resulted in a sample mean thread elongation of 12.58 mm and a sample standard deviation of .512 mm. A 16th strand results in an elongation value of 11.8. What are the values of the sample mean and sample standard deviation for all 16 elongation observations?
4. Let X - N(u, o²). The characteristic function (ch.f.) of X is given by $(w) = ejHw-o?w?/2, W E R, where j = v-1 is the imaginary unit. Use the ch.f. to find the mean and variance of X.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:Pearson Addison Wesley,

Text book image

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:9781133382119

Author:Swokowski

Publisher:Cengage

Text book image

Glencoe Algebra 1, Student Edition, 9780079039897...

Algebra

ISBN:9780079039897

Author:Carter

Publisher:McGraw Hill

Text book image

Calculus For The Life Sciences

Calculus

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:Pearson Addison Wesley,

SEE MORE TEXTBOOKS

Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY