Find the values of x, y and z that correspond to the critical point of the function: f(x, y) 5x² + 1x + 2y + 5y² Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4). x= y= Z= =

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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**Problem Statement:**

Find the values of \( x \), \( y \), and \( z \) that correspond to the critical point of the function:

\[ f(x, y) = 5x^2 + 1x + 2y + 5y^2 \]

Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4).

**Answer Boxes:**

- \( x = \) [Input box]
- \( y = \) [Input box]
- \( z = \) [Input box]
Transcribed Image Text:**Problem Statement:** Find the values of \( x \), \( y \), and \( z \) that correspond to the critical point of the function: \[ f(x, y) = 5x^2 + 1x + 2y + 5y^2 \] Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4). **Answer Boxes:** - \( x = \) [Input box] - \( y = \) [Input box] - \( z = \) [Input box]
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