Let f be a function that admits continuous second partial derivatives such that ∇f (x, y) = (ax2 - x, y2 - a2) with a <0. It can be stated with certainty that: A) The point (1/a, a f(1/a, a)) is a saddle point of f and f reaches a relative maximum at the point (0, a). B) The point (1/a, a, f(1/a, a)) is a saddle point of f and f reaches a relative maximum at the point (-1/a, a). C) The point (0, a, f(0, a)) is a saddle point of f and f reaches a relative minimum at the point (1/a, a). D) The point (0, −a, f(0, −a)) is a saddle point of f and f reaches a relative minimum at the point(0, a).

Let f be a function that admits continuous second partial derivatives such that ∇f (x, y) = (ax2 - x, y2 - a2) with a <0. It can be stated with certainty that: A) The point (1/a, a f(1/a, a)) is a saddle point of f and f reaches a relative maximum at the point (0, a). B) The point (1/a, a, f(1/a, a)) is a saddle point of f and f reaches a relative maximum at the point (-1/a, a). C) The point (0, a, f(0, a)) is a saddle point of f and f reaches a relative minimum at the point (1/a, a). D) The point (0, −a, f(0, −a)) is a saddle point of f and f reaches a relative minimum at the point(0, a).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 1E

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