/*! 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. 33 In Exercises 29鈥�34, sketch the... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q. 33 (page 1015)

In Exercises 29鈥�34, sketch the region determined by the limits of the iterated integrals and then give another iterated integral (or a sum of iterated integrals if necessary) using the opposite order of integration.

鈭�0蟺2鈭�siny1f(x,y)dxdy

Short Answer

Expert verified

The sketch of the region is:

The integral is changed as:

鈭�01鈭�0sin-1(x)f(x,y)dydx

Step by step solution

01

Step 1. Given information

Integral:

鈭�0蟺2鈭�siny1f(x,y)dxdy
02

Step 2. Sketch the region

The region has equation:

siny鈮�x鈮�10鈮�y鈮�蟺2

So the sketch of the region is:

03

Step 3. Change order of integral.

When x=sinythen y=sin-1(x)

So by observing the above sketch we can change the order of integration as:

鈭�01鈭�0sin-1(x)f(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

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�x蚁(x,y,z)dV

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

鈭�-33鈭�-9-y29-y2鈭�09-y2-z2f(x,y,z)dxdzdy

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

鈭�03鈭�01-y/3鈭�02-(2/3)y-2zf(x,y,z)dxdzdy

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

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

鈭�02鈭�01-3x/2鈭�2x+(4/3)y-40f(x,y,z)dzdydx
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.