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

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Chapter 7.9, Problem 2CP
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 4CP
Problem 5CP
Problem 1SWU
Problem 2SWU
Problem 3SWU
Problem 4SWU
Problem 5SWU
Problem 6SWU
Problem 7SWU
Problem 8SWU
Problem 9SWU
Problem 10SWU
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
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Calculus: An Applied Approach (Min...

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

Find the volume bounded by the surface

f ( x , y ) = e x 2 and the planes z = 0 , y = 0 , y = 2 x  and  x =1

To determine

To calculate: The volume bounded by the surface f(x,y)=ex2 and the planes z=0,y=0,y=2x and x=1.

Explanation

Given Information:

The provided function is f(x,y)=ex2 and the planes are z=0,y=0,y=2x and x=1.

Formula used:

The formula for integration by parts is ∫udv=uv−∫vdu.

The exponential rule of integral is ∫exdx=ex+C.

Calculation:

Consider the function,

f(x,y)=ex2

In x-y planes, the region R are bounded by the lines y=0,x=1 and y=2x.

The region R is shown below,

Now double integrate the function by setting order of integration dydx.

V=∫01∫02xex2dydx=∫012xex2dx

First solve indefinite integral

V=∫2xex2dx …… (1)

Use integration by parts

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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
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Elementary Geometry For College Students, 7e

4. To calculate the amount of a single trade discount, we multiply the _____ price by the trade discount rate. ...

Contemporary Mathematics for Business & Consumers

Volume The possible error involved in measuring each dimension of a right circular cylinder is �0.05 centimet...

Calculus: Early Transcendental Functions (MindTap Course List)

Finding a Derivative In Exercises 5-20, find dy / dx by implicit differentiation. x2+y2=9

Calculus of a Single Variable

Use a calculator to find the length of the curve correct to four decimal places. If necessary, graph the curve ...

Single Variable Calculus: Early Transcendentals

In Exercises 23-44, formulate but do not solve the problem. You will be asked to solve these problems in Sectio...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 9 to 28, use the drawings as needed to answer the following questions. Give the meanings of CD,CD,...

Elementary Geometry for College Students

True or False If the series converges to a number s, then all rearrangements of also converge to s.

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

Precalculus or Calculus In Exercises 3-6.decide whether the problem can be solved using precalculus or whether ...

Calculus

True or False? In Exercises 85-86, determine whether the statement is true or false. If it is false, explain wh...

Multivariable Calculus

The area of the shaded region is given by:

Study Guide for Stewart's Multivariable Calculus, 8th

The following data show the number of rental cars in service for three rental car companies: Hertz, Avis, and D...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

72. Solve: 4a4+4a1=5.

College Algebra (MindTap Course List)

A highway department is studying the relationship between traffic flow and speed. The following model has been ...

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

Subtract the angles in each of the following exercises. Determine 1.

Mathematics For Machine Technology

Describe the basic characteristics of a pre-post design and explain why these designs are not true experiments.

Research Methods for the Behavioral Sciences (MindTap Course List)

The residuals from the least-squares line for the data given in the previous exercise are shown in the accompan...

Introduction To Statistics And Data Analysis

A researcher wants to describe the effectiveness of a new program (compared to the old program) for teaching re...

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding an Indefinite Integral In Exercises 1-8, find the indefinite integral. (x4+3)dx

Calculus (MindTap Course List)

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