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)
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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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