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2.2 Let f be a function that admits continuous second partial derivatives, for which it is known that: Vf(r, y) = (25x – ry, 4y – ry – 24y² + 36y) fzz = 75x? – y fyy = 12y – a? – 48y+ 36 y %3D fzy = -2ry %3D Consider the critical point (a, b) with positive x-coordinate, such that said critical point generates a point chair. Determine the value of a Determine the value of b

2.2 Let f be a function that admits continuous second partial derivatives, for which it is known that: Vf(r, y) = (25x – ry, 4y – ry – 24y² + 36y) fzz = 75x? – y fyy = 12y – a? – 48y+ 36 y %3D fzy = -2ry %3D Consider the critical point (a, b) with positive x-coordinate, such that said critical point generates a point chair. Determine the value of a Determine the value of b

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2.2 Let f be a function that admits continuous second partial derivatives, for which it is known that: Vf(r, y) = (25x – ry, 4y – r*y – 24y² + 36y) fz = 75x? – y fyy = 12y – 2? – 48y+ 36 y fzy = -2ry Consider the critical point (a, b) with positive x-coordinate, such that said critical point generates a point chair. Determine the value of a Determine the value of b
Transcribed Image Text:2.2 Let f be a function that admits continuous second partial derivatives, for which it is known that: Vf(r, y) = (25x – ry, 4y – r*y – 24y² + 36y) fz = 75x? – y fyy = 12y – 2? – 48y+ 36 y fzy = -2ry Consider the critical point (a, b) with positive x-coordinate, such that said critical point generates a point chair. Determine the value of a Determine the value of b
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