Consider the function F(x, y) = xy2 + 2xy-6y2-8x-12 y + 54. (a) Find the critical points, where Fx (x, y) = Fy (x, y) = 0. Enter the coordinates of the critical point with the greater y-value. Enter in the form (x,y). (b) Enter the matrix Fra Fry Fyr Fyy at that point.
Consider the function F(x, y) = xy2 + 2xy-6y2-8x-12 y + 54. (a) Find the critical points, where Fx (x, y) = Fy (x, y) = 0. Enter the coordinates of the critical point with the greater y-value. Enter in the form (x,y). (b) Enter the matrix Fra Fry Fyr Fyy at that point.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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Transcribed Image Text:Consider the function F(x, y) = xy² + 2xy-6y²-8x-12 y + 54.
(a) Find the critical points, where F(x, y) = Fy (x, y) = 0.
Enter the coordinates of the critical point with the greater y-value.
Enter in the form (x,y).
(b) Enter the matrix
Fxx Fry
Fyx Fyy
at that point.
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