The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical point on the x-axis. (a) (i) Enter f (x,0) = (ii) Enter fy (a,0) = (b) Enter the x-coordinate of the critical point, where both these derivatives are zero. Number (c) Enter the matrix [fax fxy] at that point.
The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical point on the x-axis. (a) (i) Enter f (x,0) = (ii) Enter fy (a,0) = (b) Enter the x-coordinate of the critical point, where both these derivatives are zero. Number (c) Enter the matrix [fax fxy] at that point.
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 (x, y) = x³ −3x²y+3 xy² - y³ - 11 r² - 2xy +49 y2-16 x+208 y + 131 has a critical point on the x-axis.
(a) (i) Enter f (x,0) =
(ii) Enter fy (x,0) =
(b) Enter the x-coordinate of the critical point, where both these derivatives are zero.
Number
(c) Enter the matrix
frr fry
[fyx fyy,
at that point.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ac09755-9639-4075-b6f1-d2ae73f82d81%2F31cef052-3c99-423b-a853-fd4cb5740eb1%2Flavfxhi_processed.png&w=3840&q=75)
Transcribed Image Text:The function f (x, y) = x³ −3x²y+3 xy² - y³ - 11 r² - 2xy +49 y2-16 x+208 y + 131 has a critical point on the x-axis.
(a) (i) Enter f (x,0) =
(ii) Enter fy (x,0) =
(b) Enter the x-coordinate of the critical point, where both these derivatives are zero.
Number
(c) Enter the matrix
frr fry
[fyx fyy,
at that point.
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Follow-up Question
carrying on from this question please answer this
![There is also a critical point on the y-axis.
(e) Enter its y-coordinate.
Number
(f) Enter the matrix
"]
frr fry
[fyr fyy.
at that point.](https://content.bartleby.com/qna-images/question/4ac09755-9639-4075-b6f1-d2ae73f82d81/3540669f-f078-4170-b346-4dae73f2cb8d/11588cq_thumbnail.png)
Transcribed Image Text:There is also a critical point on the y-axis.
(e) Enter its y-coordinate.
Number
(f) Enter the matrix
"]
frr fry
[fyr fyy.
at that point.
Solution
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