43. Graph and discuss the continuity of the function sin xy if xy + 0 f(x, y) = ху 1 if xy = 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

[MATLAB] Please solve question 43 with matlab and show me the graph please.

42. At the beginning of this section we considered the function
sin(x? + y?)
x? + y?
f(x, y)
.2
and guessed on the basis of numerical evidence that
f(x, y) → 1 as (x, y) → (0, 0). Use polar coordinates to
confirm the value of the limit. Then graph the function.
A 43. Graph and discuss the continuity of the function
sin xy
if xy + 0
f(x, y) =
ху
1
if xy = 0
||
Transcribed Image Text:42. At the beginning of this section we considered the function sin(x? + y?) x? + y? f(x, y) .2 and guessed on the basis of numerical evidence that f(x, y) → 1 as (x, y) → (0, 0). Use polar coordinates to confirm the value of the limit. Then graph the function. A 43. Graph and discuss the continuity of the function sin xy if xy + 0 f(x, y) = ху 1 if xy = 0 ||
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning