/*! 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. 37 Evaluate each of the double inte... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q. 37 (page 1004)

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

鈭�鈭�R(3-x+4y)dAwhereR={(x,y)|0鈮�x鈮�1,-1鈮�y鈮�3}

Short Answer

Expert verified

The value of integral is 26units.

Step by step solution

01

Given information

We are given an integral as

鈭�鈭�R(3-x+4y)dAwhereR={(x,y)|0鈮�x鈮�1,-1鈮�y鈮�3}

02

Step 2; Use iterated integrals

We get,

鈭�-13鈭�01(3-x+4y)dxdy=鈭�-13[3x-x22+4xy]10dy=鈭�-13[52+4y]dy=[52y+2y2]3-1=26

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

State Fubini's theorem.

Use Definition 13.4to evaluate the double integrals in Exercises 29鈥�32.

localid="1649936867482" 鈭�xx2ydA

whereR={(x,y)鈭�1鈮�x鈮�3and0鈮�y鈮�2}

Identify the quantities determined by the integral expressions in Exercises 19鈥�24. If x, y, and z are all measured in centimeters and 蚁(x, y,z) is a density function in grams per cubic centimeter on the three-dimensional region , give the units of the expression.

鈭�惟鈥�x2+z2蚁(x,y,z)dV

Describe the three-dimensional region expressed in each iterated integral in Exercises 35鈥�44.

鈭�03鈭�03鈭�03-yf(x,y,z)dzdydx

Evaluate the sums in Exercises 23鈥�28.

鈭�j=13鈭�k=12jk
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Statistics

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.