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In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10xy - 10y° equal – 10? %3! There are two unit vectors : u = (0,1) , and v = %3D

In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10xy - 10y° equal – 10? %3! There are two unit vectors : u = (0,1) , and v = %3D

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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First Image is the question, 2nd image is the example. Please I need the question solved in that method

 

11. In what direction from the point (1,–1) is the instantaneous rate of change of the function f (x, y) = 2x² + 2xy – 3y² is equal to 2? z x*+ 2 xy - 3 y, P Lix, y) = 4 x + 29, %3D マf(P) (*ッリ=(L-リ (2, 8) let the ů = a ?, b} = la, b} be directhcin where ra fe a uni t vectoo ļ changeis %3D -*. 1 %3D Now, R fus (2, 8). (a, bJ Knww 1 (2) left us solre sysfem 11,(2) f.- a, andb: a = |-4b Substifufon a -1-4 b in fo a -/- 4 in fe (2, we set / - s b + 16b4 1 7 b²- 8b bU7b - Case 1 : thom 1- 4 b = 1- 4(0 = 1 (a」ら) Casc ? : = /- 4L = /- 4 - 17 /ネ アネ ū =(a,b) %3D
Transcribed Image Text:11. In what direction from the point (1,–1) is the instantaneous rate of change of the function f (x, y) = 2x² + 2xy – 3y² is equal to 2? z x*+ 2 xy - 3 y, P Lix, y) = 4 x + 29, %3D マf(P) (*ッリ=(L-リ (2, 8) let the ů = a ?, b} = la, b} be directhcin where ra fe a uni t vectoo ļ changeis %3D -*. 1 %3D Now, R fus (2, 8). (a, bJ Knww 1 (2) left us solre sysfem 11,(2) f.- a, andb: a = |-4b Substifufon a -1-4 b in fo a -/- 4 in fe (2, we set / - s b + 16b4 1 7 b²- 8b bU7b - Case 1 : thom 1- 4 b = 1- 4(0 = 1 (a」ら) Casc ? : = /- 4L = /- 4 - 17 /ネ アネ ū =(a,b) %3D
In what direction from the point (1,-1) is the instantaneous rate of change of f(x,y) = 3x* - 10x´y – 10y° equal – 10? There are two unit vectors : u = (0,1) , and v = ( ,) %3D
Transcribed Image Text:In what direction from the point (1,-1) is the instantaneous rate of change of f(x,y) = 3x* - 10x´y – 10y° equal – 10? There are two unit vectors : u = (0,1) , and v = ( ,) %3D
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