Given the function f (x,y)=x³ — 5x² + 4xy-y²– 16x - 10. Which ONE of the following stater OA 8 16 (-2,-4) is a minimum point of f and is a saddled point of f. OB. (-2,-4) is a minimum point of f and is a maximum point of f. OC. None of the choices in this list. O D. (-2,-4) is a maximum point of f and is a saddled point of f. OE. Both (-2,-4) and are saddle points of f.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 14BEXP
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Given the function f(x,y) = x³ - 5x² + 4xy-y2-16x - 10. Which ONE of the following statements is TRUE?
OA.
16
(-2,-4) is a minimum point of f and
is a saddled point of f.
OB.
16
(-2,-4) is a minimum point of f and
is a maximum point of f.
3
OC. None of the choices in this list.
O D.
16
(-2,-4) is a maximum point of f and
and .. is a saddled point of f.
O E.
8 16
Both (-2,-4) and
are saddle points of f.
Transcribed Image Text:Given the function f(x,y) = x³ - 5x² + 4xy-y2-16x - 10. Which ONE of the following statements is TRUE? OA. 16 (-2,-4) is a minimum point of f and is a saddled point of f. OB. 16 (-2,-4) is a minimum point of f and is a maximum point of f. 3 OC. None of the choices in this list. O D. 16 (-2,-4) is a maximum point of f and and .. is a saddled point of f. O E. 8 16 Both (-2,-4) and are saddle points of f.
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