Use Lagrange method to find all the maximum and minimum values of the function. ƒ(x,y) = x³ /3+ y²/2 subject to the constraint 2x² + y² = 4. Pick up all the correct statements from below. A maximum value is attained at the point (0, -2). A maximum value is attained at (√/2,0). O The minimum value of the function is -2√/2/3. The maximum value of the function is 2 and it is achieved at two different points. The minimum values of the function is 2√//2/3.

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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Use Lagrange method to find all the maximum and minimum values of the function.
f(x, y) = x³ / 3+ y² /2 subject to the constraint 2x² + y² = 4.
Pick up all the correct statements from below.
A maximum value is attained at the point (0, -2).
A maximum value is attained at (√/2,0).
O The minimum value of the function is -2√/2/3.
The maximum value of the function is 2 and it is achieved at two different points.
The minimum values of the function is 2√/2/3.
Transcribed Image Text:Use Lagrange method to find all the maximum and minimum values of the function. f(x, y) = x³ / 3+ y² /2 subject to the constraint 2x² + y² = 4. Pick up all the correct statements from below. A maximum value is attained at the point (0, -2). A maximum value is attained at (√/2,0). O The minimum value of the function is -2√/2/3. The maximum value of the function is 2 and it is achieved at two different points. The minimum values of the function is 2√/2/3.
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