1. Let f be a function that admits continuous partial second derivatives such that: V{(x, y) = (22 – ar, y? – a) With < 0. It can be assembled with certainty that: A) The point (0, a, f (0, a)) is a chair point of f and f reaches a relative maximum at point (a, a). B) The point (0, a, f (0, a)) is a chair point of f and f reaches a relative minimum at point (a, a). C) The point (a, -a, f (a, -a)) is a chair point of f and f reaches a relative minimum at the point (a, a). D) The point (-a, a, f (-a, a)) is a chair point of f and f reaches a relative maximum at the point (a, a)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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1. Let f be a function that admits continuous partial second derivatives such that:
V{(x, y) = (2² – ar, y² – a?)
With < 0. It can be assembled with certainty that:
A) The point (0, a, f (0, a)) is a chair point of f and f reaches a relative maximum at point (a, a).
B) The point (0, a, f (0, a)) is a chair point of f and f reaches a relative minimum at point (a, a).
C) The point (a, -a, f (a, -a)) is a chair point of f and f reaches a relative minimum at the point
(a, a).
D) The point (-a, a, f (-a, a)) is a chair point of f and f reaches a relative maximum at the point
(a, a)
Transcribed Image Text:1. Let f be a function that admits continuous partial second derivatives such that: V{(x, y) = (2² – ar, y² – a?) With < 0. It can be assembled with certainty that: A) The point (0, a, f (0, a)) is a chair point of f and f reaches a relative maximum at point (a, a). B) The point (0, a, f (0, a)) is a chair point of f and f reaches a relative minimum at point (a, a). C) The point (a, -a, f (a, -a)) is a chair point of f and f reaches a relative minimum at the point (a, a). D) The point (-a, a, f (-a, a)) is a chair point of f and f reaches a relative maximum at the point (a, a)
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