Explanation Given information: The function f ( x , y ) = 3 x − 6 y − 8 and the domain is | x | + | y | ≤ − 3 Concept Used: A linear function f ( x , y ) = a x + b y + c has no critical point, therefore the global maximum and minimum value of must occur on the boundary of a bounded domain Calculation: As f ( x , y ) = 3 x − 6 y − 8 is linear function thus it has no critical point, therefore the global maximum and minimum value of must occur on the boundary of domain | x | + | y | ≤ − 3 First simplify the domain, as | x | + | y | ≤ − 3 is a rhombus with it’s edges on x -axes and y -axes, edges of (corner points) | x | + | y | ≤ − 3 are ( − 3 , 0 ) , ( 3 , 0 ) , ( 0 , 3 ) , ( 0 , − 3 ) , checking value of function

4th Edition

ISBN: 9781319379421

Author: Rogawski

Publisher: MAC HIGHER

See similar textbooks

Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

Videos

Question

Chapter 14.7, Problem 36E

To determine

Find the global maximum and global minimum value of f(x,y)=3x−6y−8 on the bounded domain |x|+|y|≤−3 and indicate where they occur

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.7, Problem 35E

Chapter 14.7, Problem 37E

Students have asked these similar questions

i need help please

(#1) Consider the solid bounded below by z = x² and above by z = 4-y². If we were to project this solid down onto the xy-plane, you should be able to use algebra to determine the 2D region R in the xy-plane for the purposes of integration. Which ONE of these limite of integration would correctly describe R? (a) y: x24x: -22 - (b) y: 22 x: 04-y² (c) y: -√√4-x2. →√√4x²x: −2 → 2 (d) z: 24-y² y: -2 → 2 (e) None of the above

X MindTap - Cenxxxx Answered: tat "X A 26308049 X 10 EKU-- SP 25: X E DNA Sequenc X b/ui/evo/index.html?elSBN=9780357038406&id=339416021&snapshotid=877369& GE MINDTAP , Limits, and the Derivative 40. Answer 5 4-5 t-10 5 f(x) = 2x - 4 if x ≤0 if x 0 10 ++ -4-3-2-1 f(x) = MacBook Pro Search or type URL 5 1234 x² +1 if x = 0 if x = 0 +

Chapter 14 Solutions

CALCULUS 4E (HC) W/ ACHIEVE ACCESS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Find the global maximum and global minimum value of f ( x , y ) = 3 x − 6 y − 8 on the bounded domain | x | + | y | ≤ − 3 and indicate where they occur

Solution Summary: The author explains that the global maximum and minimum value of f(x,y)=3x-6y-8 must occur on the boundary of a bounded domain.

Concept explainers

Videos

Find the global maximum and global minimum value of f(x,y)=3x−6y−8 on the bounded domain |x|+|y|≤−3 and indicate where they occur

Want to see the full answer?

Chapter 14 Solutions