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The gradient vector field for a function f:R2→Rf:R2→R is given in the attached image: f has a relative

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 52E

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Question

The gradient vector field for a function f:R2→Rf:R2→R is given in the attached image:

f has a relative minimum at?:

f is steepest at?:

f has a saddle at?:

f has a relative maximum at?:

valid answers can be any of the letters choices (A, B, C, D, etc..) or a combination of letter choices(BDH, DH, etc..)

3
2
1
*B*
க
-1
-2
-3
-3
-2
-1
1
2
3
ma 11

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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