The function f (z, y) = 2³ – 3z² y + 3 z y? – y3 – 11 z? + 42 z y + 69 y² – 45 z – 135 y + 17 has a critical point on the z-axis. (a) (1) Enter fz (x,0) = 3"x^2-22*x-45 (H) Enter fy (z,0) = -3"x^2+42*x-135 (b) Enter the z-coordinate of the critical point, where both these derivatives are zero. 9 [Izz Szy [Syz Iyy. (c) Enter the matrix at that point. To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer. sin (a)
The function f (z, y) = 2³ – 3z² y + 3 z y? – y3 – 11 z? + 42 z y + 69 y² – 45 z – 135 y + 17 has a critical point on the z-axis. (a) (1) Enter fz (x,0) = 3"x^2-22*x-45 (H) Enter fy (z,0) = -3"x^2+42*x-135 (b) Enter the z-coordinate of the critical point, where both these derivatives are zero. 9 [Izz Szy [Syz Iyy. (c) Enter the matrix at that point. To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer. sin (a)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![The function f (z, y) = r³ – 32 y+ 3z y? – y3 – 11 z? + 42 zy+ 69 y² – 45 z – 135 y + 17 has a critical point on the r-axis.
(a) (1) Enter fr (z,0) =
3*x^2-22*x-45
(i) Enter fy (z,0) = -3"x^2+42*x-135
(b) Enter the z-coordinate of the critical point, where both these derivatives are zero.
9
[ fzz fzy
fyz fyy]
(c) Enter the matrix
at that point.
To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer.
a
sin (a)
(d) Based on this matrix, what sort of critical point is it?
Local Min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84068f81-a3b0-4ee7-98cf-e893ef158d5d%2Fb11f7b5f-8201-494f-af0e-3b417b1361a0%2Fo37sm2p_processed.png&w=3840&q=75)
Transcribed Image Text:The function f (z, y) = r³ – 32 y+ 3z y? – y3 – 11 z? + 42 zy+ 69 y² – 45 z – 135 y + 17 has a critical point on the r-axis.
(a) (1) Enter fr (z,0) =
3*x^2-22*x-45
(i) Enter fy (z,0) = -3"x^2+42*x-135
(b) Enter the z-coordinate of the critical point, where both these derivatives are zero.
9
[ fzz fzy
fyz fyy]
(c) Enter the matrix
at that point.
To enter the matrix click on the 3 x 3 grid of squares below and replace the entries with your answer.
a
sin (a)
(d) Based on this matrix, what sort of critical point is it?
Local Min
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