Check the alternative that best applies to the function of two variables whose graph is given: a. f(x,y)=g(y), where g is a function of one variable. b. f(x,y)=f(x+2π,y) (that is, f is 2π-periodic in variable x) c. f(x,y)=g(x), where g is a function of one variable. d. f(x,y)=f(x,y+2π) (that is, f is 2π-periodic in variable y) e. f(x,y)=g(x2+y2), where g is a function of one variable.
Check the alternative that best applies to the function of two variables whose graph is given: a. f(x,y)=g(y), where g is a function of one variable. b. f(x,y)=f(x+2π,y) (that is, f is 2π-periodic in variable x) c. f(x,y)=g(x), where g is a function of one variable. d. f(x,y)=f(x,y+2π) (that is, f is 2π-periodic in variable y) e. f(x,y)=g(x2+y2), where g is a function of one variable.
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...
Related questions
Question
Check the alternative that best applies to the function of two variables whose graph is given:
a. f(x,y)=g(y), where g is a function of one variable.
b. f(x,y)=f(x+2π,y) (that is, f is 2π-periodic in variable x)
c. f(x,y)=g(x), where g is a function of one variable.
d. f(x,y)=f(x,y+2π) (that is, f is 2π-periodic in variable y)
e. f(x,y)=g(x2+y2), where g is a function of one variable.
Transcribed Image Text:4000
3000
2000
1000
-1000
-2000
15
10
-3000
-4000.15
-10
y
-10
13-15
10
Expert Solution
Step 1
So, in this graph, if you could look closely and try to see the projection on the yz plane, you can see that, the pattern repeats after almost 5 times from x = -15 to x = 15
Hence, period is 6 units long along x, i.e. approximately 2π
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning