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(c) (4 points) Calculate the second Taylor polynomial of ƒ at p = (-1/2, −1/3), i.e. Q(h) = f(p) + ▼ƒ(p) · h+¹D²ƒ(p)h(²), h = (x, y). (d) (2 points) Does f have a local max or min at p? Explain. Let f(x, y) = 2x + 3y+ In(xy)

(c) (4 points) Calculate the second Taylor polynomial of ƒ at p = (-1/2, −1/3), i.e. Q(h) = f(p) + ▼ƒ(p) · h+¹D²ƒ(p)h(²), h = (x, y). (d) (2 points) Does f have a local max or min at p? Explain. Let f(x, y) = 2x + 3y+ In(xy)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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(c) (4 points) Calculate the second Taylor polynomial of ƒ at p = (-1/2, −1/3), i.e. Q(h) = f(p) + ▼ƒ(p) · h+¹D²ƒ(p)h(²), h = (x, y). (d) (2 points) Does f have a local max or min at p? Explain.
Transcribed Image Text:(c) (4 points) Calculate the second Taylor polynomial of ƒ at p = (-1/2, −1/3), i.e. Q(h) = f(p) + ▼ƒ(p) · h+¹D²ƒ(p)h(²), h = (x, y). (d) (2 points) Does f have a local max or min at p? Explain.
Let f(x, y) = 2x + 3y+ In(xy)
Transcribed Image Text:Let f(x, y) = 2x + 3y+ In(xy)
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