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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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How do you solve problem 23? Please show the steps clearly.

smallest values of the function f(x, y) over the given
boundary critical points and determine the largest and
In Exercises 23 through 28, find all interior and
31
closed, bounded region R.
23. f(x, y) = xy – x - 3y on the triangular region R
with vertices (0, 0), (5, 0), (5, 5).
%3D
3
24. f(x, y) = 4xy – 8x – 4y + 5 on the triangular
region R with vertices (0, 0), (2, 0), (0, 3).
25. f(x, y) = 2x + y´ + xy´ – 2 on the square region
R with vertices (5, 5), (-5, 5), (5, –5), (-5, -5).
26. f(x, y) = x + 3y -
region R with vertices (0, 0), (3, 0), (3, –3),
(0, -3).
4x + 6y – 3 on the square
27. f(x, y) = x* + 2y° on the circular region R bounded
by x + y = 1.
28. f(x, y) = xy² on the quarter circular region R
bounded by x + y = 12 with x 0, y 2 0.
to

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