In Exercises 24–28, find the maximum and minimum of thefunction f subject to the given constraint. In each case explainwhy the maximum and minimum must both exist.24. f (x, y) = x + y when x2 + y2 = 1625. f (x, y) = x + y when x2 + 4y2 = 16 26. f (x, y) = xy when x2 + y2 = 1627. f (x, y) = xy when x2 + 4y2 = 1628. f (x, y, z) = x + y + z when x2 + y2 + z2 = 9

In Exercises 24–28, find the maximum and minimum of thefunction f subject to the given constraint. In each case explainwhy the maximum and minimum must both exist.24. f (x, y) = x + y when x2 + y2 = 1625. f (x, y) = x + y when x2 + 4y2 = 16 26. f (x, y) = xy when x2 + y2 = 1627. f (x, y) = xy when x2 + 4y2 = 1628. f (x, y, z) = x + y + z when x2 + y2 + z2 = 9

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Description: In Exercises 24–28, find the maximum and minimum of thefunction f subject to the given constraint. In each case explainwhy the maximum and minimum must both exist.24. f (x, y) = x + y when x2 + y2 = 1625. f (x, y) = x + y when x2 + 4y2 = 1626. f (x,

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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26. f (x, y) = xy when x² + y² = 16
27. f (x, y) = xy when x² + 4y² = 16
28. f (x, y, z) = x + y + z when x² + y² + z² = 9

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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