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

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Chapter 7.8, Problem 2E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Partial Integrals In Exercises 1-10, find the partial integral. See Example 1.

∫ 0 y ( 5 x + 8 y ) d x

To determine

To calculate: The partial integration ∫0y(5x+8y)dx.

Explanation

Given Information:

The integration is ∫0y(5x+8y)dx.

Formula used:

If a binary function F(x,y) is integrable in domain of a≤x≤b and c≤y≤d, the partial integration ∫abF(x,y)dx can be calculated as follows procedure,

Integrate with respect to x by holding y constant,

∫abF(x,y)dx=[f(x,y)]ab

Here, function f(x,y) is partial integration of F(x,y) with respect to x variable.

Now, replace the x by limit of integration,

[f(x,y)]ab=[f(a,y)−f(b,y)]

The double integration ∫abF(x,y)dx is [f(a,y)−f(b,y)]

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 P-14ESect-7.2 P-15ESect-7.2 P-16ESect-7.2 P-17ESect-7.2 P-18ESect-7.2 P-19ESect-7.2 P-20ESect-7.2 P-21ESect-7.2 P-22ESect-7.2 P-23ESect-7.2 P-24ESect-7.2 P-25ESect-7.2 P-26ESect-7.2 P-27ESect-7.2 P-28ESect-7.2 P-35ESect-7.2 P-36ESect-7.2 P-37ESect-7.2 P-38ESect-7.2 P-39ESect-7.2 P-40ESect-7.2 P-41ESect-7.2 P-42ESect-7.2 P-43ESect-7.2 P-44ESect-7.2 P-45ESect-7.2 P-46ESect-7.2 P-47ESect-7.2 P-48ESect-7.2 P-49ESect-7.2 P-50ESect-7.2 P-51ESect-7.3 P-1CPSect-7.3 P-2CPSect-7.3 P-3CPSect-7.3 P-4CPSect-7.3 P-5CPSect-7.3 P-1SWUSect-7.3 P-2SWUSect-7.3 P-3SWUSect-7.3 P-4SWUSect-7.3 P-5SWUSect-7.3 P-6SWUSect-7.3 P-7SWUSect-7.3 P-8SWUSect-7.3 P-9SWUSect-7.3 P-10SWUSect-7.3 P-1ESect-7.3 P-2ESect-7.3 P-3ESect-7.3 P-4ESect-7.3 P-5ESect-7.3 P-6ESect-7.3 P-7ESect-7.3 P-8ESect-7.3 P-9ESect-7.3 P-10ESect-7.3 P-11ESect-7.3 P-12ESect-7.3 P-13ESect-7.3 P-14ESect-7.3 P-15ESect-7.3 P-16ESect-7.3 P-17ESect-7.3 P-18ESect-7.3 P-19ESect-7.3 P-20ESect-7.3 P-21ESect-7.3 P-22ESect-7.3 P-23ESect-7.3 P-24ESect-7.3 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P-2SWUSect-7.7 P-3SWUSect-7.7 P-4SWUSect-7.7 P-5SWUSect-7.7 P-6SWUSect-7.7 P-7SWUSect-7.7 P-8SWUSect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.8 P-1CPSect-7.8 P-2CPSect-7.8 P-3CPSect-7.8 P-4CPSect-7.8 P-5CPSect-7.8 P-6CPSect-7.8 P-1SWUSect-7.8 P-2SWUSect-7.8 P-3SWUSect-7.8 P-4SWUSect-7.8 P-5SWUSect-7.8 P-6SWUSect-7.8 P-7SWUSect-7.8 P-8SWUSect-7.8 P-9SWUSect-7.8 P-10SWUSect-7.8 P-11SWUSect-7.8 P-12SWUSect-7.8 P-13SWUSect-7.8 P-14SWUSect-7.8 P-15SWUSect-7.8 P-16SWUSect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 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Finite Mathematics

Palindromic Numbers A palindromic number is a whole number that remains unchanged when its digits are written i...

Mathematical Excursions (MindTap Course List)

Find the value of the sum. 33. i=1n(i+1)(i+2)

Single Variable Calculus: Early Transcendentals

Calculate the assessed value and the property tax due on the following properties. Fair Market Value Assessmen...

Contemporary Mathematics for Business & Consumers

For Exercises 1 to 10, use the accompanying drawing. If VUVT, what type of triangle is VTU?

Elementary Geometry For College Students, 7e

9. Let be a group of all nonzero real numbers under multiplication. Find a subset of that is closed under mu...

Elements Of Modern Algebra

Perform the indicated operations and simplify: 45+12

Elementary Technical Mathematics

The problems that follow review material we covered in 4.3 and 4.6. Graph each of the following from x=0 to x=4...

Trigonometry (MindTap Course List)

Finding an Equation of a Tangent Line In Exercises 63-68, (a) find an equation of the tangent line to the graph...

Calculus of a Single Variable

Review In Exercises 71-76, determine the convergence or divergence of the series using any appropriate test fro...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 9 to 28, use the drawings as needed to answer the following questions. Make a sketch of a two inte...

Elementary Geometry for College Students

A pair of fair dice is rolled, and the sum of the two numbers falling uppermost is observed. The probability of...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Tangent Plane In Exercises 33-36, find an equation of the tangent plane to the surface represented by...

Multivariable Calculus

The polar form for the graph at the right is:

Study Guide for Stewart's Multivariable Calculus, 8th

Suppose the price (demand function) for an item is p = 16 0.0 lx, where x is the number of items. If the cost ...

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

Finding a Limit In Exercises 1128, find the limit. limx0sin[ (/6)+x ](1/2)x [Hint: sin(+)=sincos+cossin ]

Calculus

Finding a Limit In Exercises 11-30, find the limit (if it exists). If it docs not exist, explain why. limx8+1x+...

Calculus (MindTap Course List)

Using PsycINFO (or a similar database), find five articles on the topic of preschool daycare and social anxiety...

Research Methods for the Behavioral Sciences (MindTap Course List)

entrepreneur magazine ranks franchises using performance measures such as growth rate, number of locations, sta...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Describe the process of conducting a literature search, including using an online database such as PsycINFO, an...

Research Methods for the Behavioral Sciences (MindTap Course List)

Consider the following hypothesis test: H0: = 100 Ha: 100 A sample of 65 is used. Identify the p-value and s...

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

In Exercises 17-22, show that the given sets of points are equivalent by establishing a one-to-one corresponden...

Mathematics: A Practical Odyssey

Write each number in standard notation. 1.210-3

College Algebra (MindTap Course List)

A New York psychologist recommends that if you feel the need to check your e-mail in the middle of a movie or i...

Introduction To Statistics And Data Analysis

Express 87.6 inches as feet.

Mathematics For Machine Technology

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