Find the maximum off(x, y) = 2x + 2y – x² - y? – xyon the square, Osxs a, 0< y < a, a = 3.Bdge yaEdge x =0Edge aBdge y=0(a) First, locate the critical point of f in the square and evaluate f at this point.(Use symbolic notation and fractions where needed.)f =(b) On the bottom edge, y = 0 and f(x, 0) = 2x – x?. Find the maximum value of f on the bottom edge.(Use symbolic notation and fractions where needed.)fbollom =(c) Find the maximum values of f on the remaining edges.(Use symbolic notation and fractions where needed.)fielt =fopfright

In order to find the critical point first we need to partially differentiate with respect to 'x'…

Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bdge aa (a) First, locate the critical point of f in the square and evaluate f at this point. (Use symbolic notation and fractions where needed.) f = (b) On the bottom edge, y = 0 and f(x, 0) = 2x – x². Find the maximum value of f on the bottom edge. (Use symbolic notation and fractions where needed.) (c) Find the maximum values of f on the remaining edges. (Use symbolic notation and fractions where needed.) fielt = fop = frigh =

Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bdge aa (a) First, locate the critical point of f in the square and evaluate f at this point. (Use symbolic notation and fractions where needed.) f = (b) On the bottom edge, y = 0 and f(x, 0) = 2x – x². Find the maximum value of f on the bottom edge. (Use symbolic notation and fractions where needed.) (c) Find the maximum values of f on the remaining edges. (Use symbolic notation and fractions where needed.) fielt = fop = frigh =

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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