3. Consider the function f(r, y) = 3+ xy – x – 2y (a) Find the critical points of f and determine whether they are local minima, local maxima or saddle points. Recall that

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Consider the function
f(x, y) = 3+ ry – x – 2y
(a) Find the critical points of f and determine whether they are local minima, local maxima or
saddle points. Recall that
D(x, y) = fa« fyy – Say
(b) Find the absolute maximum and minimum of f on the closed triangular region D with
vertices (1,0), (5,0), and (0,3).
Transcribed Image Text:3. Consider the function f(x, y) = 3+ ry – x – 2y (a) Find the critical points of f and determine whether they are local minima, local maxima or saddle points. Recall that D(x, y) = fa« fyy – Say (b) Find the absolute maximum and minimum of f on the closed triangular region D with vertices (1,0), (5,0), and (0,3).
Final Exam Practice Problems
Transcribed Image Text:Final Exam Practice Problems
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