the function f (x, y) = xy2 +1/6 x3 − X + 1 is given. a) find and classify all critical points of function f. b) find the extremum values of the function f using the lagrangecarpans method under the constraint x2/4 + y2= 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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the function f (x, y) = xy2 +1/6 x3 − X + 1 is given.

a) find and classify all critical points of function f.

b) find the extremum values of the function f using the lagrangecarpans method under the constraint x2/4 + y2= 1.

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