Find all values of \( x \) and \( y \) such that \( f_x(x, y) = 0 \) and \( f_y(x, y) = 0 \) simultaneously. \[ f(x, y) = x^2 + 5xy + y^2 - 21x - 21y + 23 \] \[ (x, y) = \left( \boxed{\phantom{x}} \right) \]
Find all values of \( x \) and \( y \) such that \( f_x(x, y) = 0 \) and \( f_y(x, y) = 0 \) simultaneously. \[ f(x, y) = x^2 + 5xy + y^2 - 21x - 21y + 23 \] \[ (x, y) = \left( \boxed{\phantom{x}} \right) \]
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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![Find all values of \( x \) and \( y \) such that \( f_x(x, y) = 0 \) and \( f_y(x, y) = 0 \) simultaneously.
\[ f(x, y) = x^2 + 5xy + y^2 - 21x - 21y + 23 \]
\[ (x, y) = \left( \boxed{\phantom{x}} \right) \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d6b1a15-ad76-404f-a5e3-cd06c5eb3939%2F051193c9-d031-41b4-99be-e5e1dbfefa43%2Fsww39zj_processed.png&w=3840&q=75)
Transcribed Image Text:Find all values of \( x \) and \( y \) such that \( f_x(x, y) = 0 \) and \( f_y(x, y) = 0 \) simultaneously.
\[ f(x, y) = x^2 + 5xy + y^2 - 21x - 21y + 23 \]
\[ (x, y) = \left( \boxed{\phantom{x}} \right) \]
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Step 1: We have to find the values of x, y.
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