/*! 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 12. To convert from spherical to cyl... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q 12. (page 1066)

To convert from spherical to cylindrical coordinates:

r=----,胃=----,z=----

Short Answer

Expert verified

r=蚁sin蠒,胃=胃,z=蚁cos蠒

Step by step solution

01

Given Information

Given (r,胃,z)be cylindrical coordinates and (蚁,胃,蠒)be spherical coordinates.

02

Simplification

The relation between two is:

r=蚁sin蠒,胃=胃,z=蚁cos蠒

Hence,

r=蚁sin蠒

胃=胃

and

z=蚁cos蠒

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

In Exercises, let S=(x,y)鈭�x2+y2鈮�1andx鈮�0.

If the density at each point in S is proportional to the point鈥檚 distance from the origin, find the center of mass of S.

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

鈭�鈭�Rxx+ydA,whereR={(x,y)|1鈮�x鈮�4and0鈮�y鈮�3}

What is the difference between a triple integral and an iterated triple integral?

Evaluate the iterated integral :

鈭�13鈥�鈭�鈭�15鈥�鈭�03鈥�xy2zdzdydx

Let f(x,y,z)be a continuous function of three variables, let 惟xy={(x,y)|a鈮�x鈮�bandh1(x)鈮�y鈮�h2(x)}be a set of points in the xy-plane, and let 惟={(x,y,z)|(x,y)鈭�惟xyandg1(x,y)鈮�z鈮�g2(x,y)}be a set of points in 3-space. Find an iterated triple integral equal to the the triple integral鈭�惟f(x,y,z)dV. How would your answer change if惟xy={(x,y)|a鈮�y鈮�bandh1(y)鈮�x鈮�h2(y)}?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Pure 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.