Question

Find the absolute maximum and absolute minimum values of f(x,y) = x^2 + 2y^2 − 2x...

Find the absolute maximum and absolute minimum values of f(x,y) = x^2 + 2y^2 − 2x + 2 on the closed disk D: x^2 + y^2 ≤ 4.

Answer: absolute min: f(1, 0) = 1; absolute max: f(−1, ± √3) = 11

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. Find the absolute maximum and minimum values of the function f(x, y) = 2x^3 +...
2. Find the absolute maximum and minimum values of the function f(x, y) = 2x^3 + y^4 on the unit disk.
Determine the absolute minimum and maximum values of the function f(x, y) = 2x^2 −2xy +y^2...
Determine the absolute minimum and maximum values of the function f(x, y) = 2x^2 −2xy +y^2 −2y + 7 on the closed triangular region with vertices (0, 0), (3, 0), and (0, 3).
Calculate the following: absolute maximum, absolute minimum values of f(x, y) = 2x^2y on -> 2x^2+y^2=6
Calculate the following: absolute maximum, absolute minimum values of f(x, y) = 2x^2y on -> 2x^2+y^2=6
find the absolute maximum value and absolute minimum values of the function f(x,y)4xy^2-x^2y^2-xy^3 on the set...
find the absolute maximum value and absolute minimum values of the function f(x,y)4xy^2-x^2y^2-xy^3 on the set D, where D is the closed trianglar region in the xy-plane with certices (0,0)(0,6)(6,)0
Find the absolute maximum and minimum values of f on the set D. f(x,y)=2x^3 +y^4 +2,...
Find the absolute maximum and minimum values of f on the set D. f(x,y)=2x^3 +y^4 +2, D== {(x,y)|?^2 + ?^2 ≤ 4}
Find the maximum and minimum values of f(x,y,z)=2x-2y-z on the closed and bounded set 4x^2+2y^2+z^2 ≤...
Find the maximum and minimum values of f(x,y,z)=2x-2y-z on the closed and bounded set 4x^2+2y^2+z^2 ≤ 1
Find the absolute maximum and minimum values of f on the set D. f(x, y) =...
Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4x + 6y − x2 − y2 + 8, D = {(x, y) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 5} Find the absolute maximum and minimum values of f on the set D. f(x, y) = 2x3 + y4 + 2,    D = {(x, y) | x2 + y2 ≤ 1}
Find the absolute maximum and minimum values of f on the set D. f(x, y) =...
Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4x + 6y − x2 − y2 + 3, D = {(x, y) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 5} absolute maximum value     absolute minimum value   
Find the absolute min and max values of the function f(x, y) =x + y− x^2y...
Find the absolute min and max values of the function f(x, y) =x + y− x^2y on the closed triangular region with vertices (0,0), (3,0), and (0,3).
Find the absolute maximum and minimum values of f(x, y) = 4xy + x^2 on the...
Find the absolute maximum and minimum values of f(x, y) = 4xy + x^2 on the triangular region D in the xy-plane with vertices (4, 0), (0, 3), and (2, 4).