Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The function f(x, y) = 9x2
x3 + 36y2 – 8y3 + 40 has 4 critical points and the following second partial derivatives matrix.
18-6x
2nd Partials Matrix =
72-48y
For each critical point listed below, find the determinant value and, if possible, classify the point.
Critical Point A: x=0, y=0
D(0,0)=
Select Classification
Critical Point B: x=6, y=0
D(6,0)=
Select Classification
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Transcribed Image Text:The function f(x, y) = 9x2 x3 + 36y2 – 8y3 + 40 has 4 critical points and the following second partial derivatives matrix. 18-6x 2nd Partials Matrix = 72-48y For each critical point listed below, find the determinant value and, if possible, classify the point. Critical Point A: x=0, y=0 D(0,0)= Select Classification Critical Point B: x=6, y=0 D(6,0)= Select Classification
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