/*! 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. 16 Continuity: Find the set of poin... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 16 (page 989)

Continuity: Find the set of points where the function is continuous.

f(x,y)=cos1x鈭�y

Short Answer

Expert verified

The given function is continuous for all (x, y) in R2except those where x=y

Step by step solution

01

Step 1. Given information

f(x,y)=cos1x鈭�y

02

Step 2. Explanation

The function f(x,y)=cos1x鈭�yis a trigonometric function.

cos1x鈭�yis defined for all (x, y) in R2except at all point where x=y

Therefore, cos1x-yis continuous for all (x, y) in R2except those where x=y

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, by considering the function f(x,y)=x2ysubject to the constraint x+y=0,you will explore a situation in which the method of Lagrange multipliers does not provide an extremum of a function.

Show that the only point given by the method of Lagrange multipliers for the function f(x,y)=x2ysubject to the constraint x+y=0is(0,0).

Use Theorem 12.33 to find the indicated derivatives in Exercises 27鈥�30. Express your answers as functions of two variables.

鈭�z鈭�swhenz=x2y3,x=tsins,andy=scost

Evaluate the following limits, or explain why the limit does not exist.

lim(x,y,z)鈫�(1,0,-1)sin(xy)x2-y2+z2

Prove that if you minimize the square of the distance from the origin to a point (x, y) subject to the constraint g(x,y)=0, you have minimized the distance from the origin to (x, y) subject to the same constraint.

Describe the meanings of each of the following mathematical expressions :

鈭�w鈭�y
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics 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.