(Please solve by hand) 18 (1). Let f be a function that admits continuous second partial derivatives, for which it is knownthat:Vf(r, y) = (16x³ – 4ry², 16y³ – 42°y – 32y² + 16y)fzz = 4822 – 4y?fyy = 48y² – 4x2 – 64y + 16fry = -8ry%3DConsider the critical point (a, b) with positive x-coordinate, such that said critical point generates aminimum local.Determine the value of a:Determine the value of b:

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18 (1). Let f be a function that admits continuous second partial derivatives, for which it is known that: V{(r,y) = (162³ – 4ry², 16y³ – 4r°y – 32y² + 16y) frz = 4822 – fyy = 48y? – 4x² – 64y + 16 fry = -8ry %3D 4y? %3D Consider the critical point (a, b) with positive x-coordinate, such that said critical point generates a minimum local. Determine the value of a: Determine the value of b:

18 (1). Let f be a function that admits continuous second partial derivatives, for which it is known that: V{(r,y) = (162³ – 4ry², 16y³ – 4r°y – 32y² + 16y) frz = 4822 – fyy = 48y? – 4x² – 64y + 16 fry = -8ry %3D 4y? %3D Consider the critical point (a, b) with positive x-coordinate, such that said critical point generates a minimum local. Determine the value of a: Determine the value of b:

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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