Find the critical points of the function by using algebraic techniques (completing the square) or by examining the form of the equation. Verify your results using the partial derivatives test. f(x, у) %3D —х? — бу? + 8x — 12у — 14 (х, у, 2) %3D

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Find the critical points of the function by using algebraic techniques (completing the square) or by examining the form of the equation. Verify your results using the partial derivatives test.
f(x, у) %3D —х? — бу? + 8x — 12у — 14
(х, у, 2) %3D
Transcribed Image Text:Find the critical points of the function by using algebraic techniques (completing the square) or by examining the form of the equation. Verify your results using the partial derivatives test. f(x, у) %3D —х? — бу? + 8x — 12у — 14 (х, у, 2) %3D
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