/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 48 In Exercises 45鈥�52, rewrite th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q. 48 (page 1055)

In Exercises 45鈥�52, rewrite the indicated integral with the specified order of integration.

Exercise 38 with the order dx dy dz.

Short Answer

Expert verified

The given indicated integral with the specified order of integration is,

鈭�04鈭�02鈭�03z/4f(x,y,z)dxdydz

Step by step solution

01

Step 1. Given Information. 

We are given,

鈭�02鈭�03鈭�4x/34f(x,y,z)dzdxdy

02

Step 2. Rewriting the integral. 

We have to write the given integral in order of dx dy dz.

So, the limit of the integration will vary as follows:

The limit of xalters from 0to3

The limit of yalters from 0to2

The limit of zalters from 0to4x3

When z=4x3,

x=3z4

Combining the above limits, x varies from 0to 3z4.

03

Step 3. Rewriting the integral. 

The limits of y varies from 0to 2. There will be no change.

Calculate the limits of z.

When x=0,

z=4x3=4(0)3=0

When x=3,

z=4x3=4(3)3=4

Hence the indicated integral with the specified order of integration will be,

鈭�02鈭�03鈭�4x/34f(x,y,z)dzdxdy=鈭�04鈭�02鈭�03z/4f(x,y,z)dxdydz.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.

Evaluate each of the double integrals in Exercises 37鈥�54 as iterated integrals.

鈭�鈭�Rx3ex2ydA,whereR={(x,y)|0鈮�x鈮�4and鈭�1鈮�y鈮�1}

Find the masses of the solids described in Exercises 53鈥�56.

The solid bounded above by the plane with equation 2x + 3y 鈭� z = 2 and bounded below by the triangle with vertices (1, 0, 0), (4, 0, 0), and (0, 2, 0) if the density at each point is proportional to the distance of the point from the

xy-plane.

Evaluate the triple integrals over the specified rectangular solid region.

鈭�R鈥�x2yzdV, whereR={(x,y,z)鈭�鈭�2鈮�x鈮�1,0鈮�y鈮�3,and1鈮�z鈮�5}

Evaluate Each of the integrals in exercises 33-36 as an iterated integral and then compare your answer with thoise you found in exercise 29-32

鈭�鈭�Rxy3dAWhereR={(x,y)|-2鈮�x鈮�2,-1鈮�y鈮�1}
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.