/*! 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 7. Which of the iterated integrals ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q 7. (page 1014)

Which of the iterated integrals in Exercises below could correctly

be used to evaluate the double integral:

鈭�14鈭�26f(x,y)dxdy

Short Answer

Expert verified

The integral that will give correct value of 鈭�Rf(x,y)dAis鈭�14鈭�26f(x,y)dydx

Step by step solution

01

Given Information

Rectangular region is bounded byx=1,x=4,y=2andy=6

02

Consideration

Consider integral

鈭�14鈭�26f(x,y)dxdy

The inner integral is wrt xand limits of inner integral are of y.

Same is applicable for x.

The iterated integral will give incorrect value of鈭�Rf(x,y)dA

03

Simplification

If region is considered of type I keeping limits same, order of integration should be same.

Inner integral is wrt y.

Hence integral that will give correct value of鈭�Rf(x,y)dAis鈭�14鈭�26f(x,y)dydx

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

Explain why鈭�i=1l鈭�j=1m鈭�k=1nij2k3=鈭�j=1m鈭�k=1n鈭�i=1lij2k3.

In the following lamina, all angles are right angles and the density is constant:

Evaluate the triple integrals over the specified rectangular solid region.

鈭�R鈥�(x+2y+3z)dV, whereR={(x,y,z)鈭�0鈮�x鈮�4,1鈮�y鈮�5,and2鈮�z鈮�7}

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

鈭�鈭�RxexydA,where{R=(x,y)|0鈮�x鈮�1and0鈮�y鈮�ln5}

Evaluate each of the double integral in the exercise 37-54 as iterated integrals

鈭�鈭�R(y2)dAWhereR={(x,y)|-3鈮�x鈮�2,-2鈮�y鈮�2}
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Decision 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.