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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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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