Suppose that f(x, y) = x² - xy + y² - 4x + 4y with −4 ≤ x, y ≤ 4. 4 1. The critical point of f(x, y) is at (a, b). Then a = 3 4 and b = 16 2. Absolute minimum of f(x, y) is - 3 and the absolute maximum is 16 ☑80

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...
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show all steps to find correct answers, which are shown in pictures. Explain why absolute maximum is 80.

Suppose that f(x, y) = x² - xy + y² - 4x + 4y with −4 ≤ x, y ≤ 4.
4
1. The critical point of f(x, y) is at (a, b). Then a =
3
4
and b
=
16
2. Absolute minimum of f(x, y) is
-
3
and the absolute maximum is 16
☑80
Transcribed Image Text:Suppose that f(x, y) = x² - xy + y² - 4x + 4y with −4 ≤ x, y ≤ 4. 4 1. The critical point of f(x, y) is at (a, b). Then a = 3 4 and b = 16 2. Absolute minimum of f(x, y) is - 3 and the absolute maximum is 16 ☑80
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