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2. f(x, y) = (x - 1)(x + 2)(x - y) (y + 1) 3. f(r,0)=sin²0. For this question, you can either use the gradient (and second derivative test) in polar coordinates, as derived in the videos, OR, convert the function first to Cartesian coordinates, and then proceed as usual.

2. f(x, y) = (x - 1)(x + 2)(x - y) (y + 1) 3. f(r,0)=sin²0. For this question, you can either use the gradient (and second derivative test) in polar coordinates, as derived in the videos, OR, convert the function first to Cartesian coordinates, and then proceed as usual.

Advanced Engineering Mathematics
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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2 Stationary points For each of the following functions . Find the stationary points. . Using the second derivative test, determine whether the each of these points is a saddle, a minimum or a maximum. Note that you must explain every step of your calculations. 2. f(x,y) = (x - 1)(x+2)(x - y) (y + 1) 3. f(r,0)=sin²0. For this question, you can either use the gradient (and second derivative test) in polar coordinates, as derived in the videos, OR, convert the function first to Cartesian coordinates, and then proceed as usual.
Transcribed Image Text:2 Stationary points For each of the following functions . Find the stationary points. . Using the second derivative test, determine whether the each of these points is a saddle, a minimum or a maximum. Note that you must explain every step of your calculations. 2. f(x,y) = (x - 1)(x+2)(x - y) (y + 1) 3. f(r,0)=sin²0. For this question, you can either use the gradient (and second derivative test) in polar coordinates, as derived in the videos, OR, convert the function first to Cartesian coordinates, and then proceed as usual.
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