/*! 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. 17 Compute聽the聽divergence聽of聽th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 14: Q. 17 (page 1132)

ComputethedivergenceofthevectorfieldsinExercises17鈥�22.F(x,y)=yx2i鈭�xcosyj

Short Answer

Expert verified

divF==2xy+xsiny

Step by step solution

01

Step 1. Given information is: 

F(x,y)=yx2i鈭�xcosyj

02

Step 2. Divergence of vector field

IfF(x,y)=f1(x,y)i+f2(x,y)j,thendivF=鈭�f1鈭�x+鈭�f2鈭�yHere,F(x,y)=yx2i鈭�xcosyjComparethiswith,F(x,y)=f1(x,y)i+f2(x,y)jThen,f1(x,y)=yx2,f2(x,y)=-xcosydivF=鈭�f1鈭�x+鈭�f2鈭�y=鈭�(yx2)鈭�x+鈭�(-xcosy)鈭�y=2xy+xsiny

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

If curl F(x,y,z)路nis constantly equal to 1on a smooth surface Swith a smooth boundary curve C, then Stokes鈥� Theorem can reduce the integral for the surface area to a line integral. State this integral.

In what way is Green鈥檚 Theorem a special case of Stokes鈥� Theorem?

What does it mean to say that a vector field is conservative?

UsethevectorfieldF(x,y)=x2eyi+cos(x)sin(y)jandGreen鈥�sTheoremtowritethelineintegralofF(x,y)abouttheunitcircle,traversedcounterclockwise,asadoubleintegral.Donotevaluatetheintegral.

Integrate the given function over the accompanying surface in Exercises 27鈥�34.
f(x,y,z)=x2-y+3z, where Sis the portion of the plane with equation 2x-6y+3z=1whose preimage in the xz plane is the region bounded by the coordinate axes and the lines with equations z = 4 and x = z.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Probability and 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.