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Minimize: f(x, y) = x² – y2 Constraint: х — 8y + 126 %3D |

Minimize: f(x, y) = x² – y2 Constraint: х — 8y + 126 %3D |

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 20E
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Minimize: f(x, y) = x2 - y2 %3D Constraint: х — 8у + 126
Transcribed Image Text:Minimize: f(x, y) = x2 - y2 %3D Constraint: х — 8у + 126
To find the critical numbers of F, set the partial derivatives F, F, and F, equal to zero. X' 2x - 1 = 0 X = -2y + 81 y = -(x - 8y + 126) = 0 II
Transcribed Image Text:To find the critical numbers of F, set the partial derivatives F, F, and F, equal to zero. X' 2x - 1 = 0 X = -2y + 81 y = -(x - 8y + 126) = 0 II
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