Find the minimum and maximum values of the given functions in the indicated region. f(x,y)=x²-3y +y³, x² + 4y² ≤36 a. Min. f(0,-3) = -18, Max. f(± √320,- 1/3) = 986/9 b. Min. f(0, -3) = -18, Max. f(± √320,- 1/3)=986/27 Min. f(0,3)=0, Max. f(+√320,- 1/3)=986/27 Min. f(0, -3) = - 18, Max. f(√320,- 1/3)=986/27 e. Min. f(3,-3)= -9, Max. f(+√320,- 1)=986//27 C. d.
Find the minimum and maximum values of the given functions in the indicated region. f(x,y)=x²-3y +y³, x² + 4y² ≤36 a. Min. f(0,-3) = -18, Max. f(± √320,- 1/3) = 986/9 b. Min. f(0, -3) = -18, Max. f(± √320,- 1/3)=986/27 Min. f(0,3)=0, Max. f(+√320,- 1/3)=986/27 Min. f(0, -3) = - 18, Max. f(√320,- 1/3)=986/27 e. Min. f(3,-3)= -9, Max. f(+√320,- 1)=986//27 C. d.
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
Transcribed Image Text:Find the minimum and maximum values of the given functions in the indicated region.
f(x,y)=x²- 3y +y³, x² +4y² ≤36
Min. f(0, -3) = -18,
Min. f(0, -3)= - 18,
Min. f(0,3)=0,
Max. f(± √320,- 1/3)=986/27
Min. f(0, -3) = -18, Max. f(√320,- 1/3)=986/27
Min. f(3,-3)= -9, Max. f(± √320,- 1) =986//27
a.
b.
C.
d.
e.
Max. f(± √320,- 1/3) =986/9
Max. f(± √320,- 1/3)=986/27
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 3 images
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