Consider the function f defined by: f(x, y, z) = x² + y² + z² − xy − yz + 6x − 5y + 4z − 100. 1. Determine the stationary point of f. 2. Is f convex or concave? Justify your answer. 3. Deduce whether the stationary point is a minimum or a maximum. Justify your answer.
Consider the function f defined by: f(x, y, z) = x² + y² + z² − xy − yz + 6x − 5y + 4z − 100. 1. Determine the stationary point of f. 2. Is f convex or concave? Justify your answer. 3. Deduce whether the stationary point is a minimum or a maximum. Justify your answer.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
Problem 3PT
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Transcribed Image Text:Consider the function f defined by:
ƒ(x, y, z) = x² + y² + z² − xy − yz + 6x − 5y + 4z –— 100.
1. Determine the stationary point of f.
2. Is f convex or concave? Justify your answer.
3. Deduce whether the stationary point is a minimum or a maximum. Justify
your answer.
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