Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

At what points $(x, y, z)$ in space are the functions in continuous?a. $h(x, y, z)=x y \sin \frac{1}{z}$b. $h(x, y, z)=\frac{1}{x^{2}+z^{2}-1}$

Get the answer to your homework problem.

Try Numerade free for 7 days

Input your name and email to request the answer

Like

Report

a) $h(x, y, z)$ is continuous on $S=\left\{(x, y, z) \in \mathbb{R}^{3}: z \neq 0\right\}$b) $h(x, y, z)$ is continuous on $S=\left\{(x, y, z) \in \mathbb{R}^{3}: x^{2}+z^{2}-1 \neq 0\right\}$

Calculus 3

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Campbell University

Baylor University

University of Michigan - Ann Arbor

Boston College

Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

04:14

02:47

At what points $(x, y, z)$…

01:28

01:49

04:25

01:43

02:00

01:38

03:40

01:19

01:06

02:45

01:01

No transcript available

View More Answers From This Book

Find Another Textbook

01:24

Estimate the sum by clustering. 28.71 + 29.1 + 32.45 + 31 + 30.9

00:32

write the half of 2^10 in terms of the power of 2?

00:57

factorise the following a^2 b^2 - 1Plz do it quick

00:38

Write the statement on adding 10 in a number the number becomes 20 in the fo…