f(x, y) Let 3x² + 2y² - 2xy - 1. a Find the local maximum and minimum values and saddle points of f, if any. b) Evaluate the double integral Sp f(x, y)dA, where D = {(x, y) - 1 ≤ x ≤0, 0≤ y ≤ x²}.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let
f(x, y) = 3x² + 2y² - 2xy - 1.
Find the local maximum and minimum
values and saddle points of f, if any.
a
b)
Evaluate the double integral
SSD f(x, y)dA, where
D = {(x, y)| -1 ≤ x ≤0, 0≤ y ≤ x²}.
Transcribed Image Text:Let f(x, y) = 3x² + 2y² - 2xy - 1. Find the local maximum and minimum values and saddle points of f, if any. a b) Evaluate the double integral SSD f(x, y)dA, where D = {(x, y)| -1 ≤ x ≤0, 0≤ y ≤ x²}.
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