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This 2-variable function has exactly TWO critical points: y? f (x, y) 3 xy + 4 - One of them is (0, 0). Find the other critical point. SHOW ALL ALGEBRA! Use the Second Partials Test and classify the critical point (0, 0) as either LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA!

This 2-variable function has exactly TWO critical points: y? f (x, y) 3 xy + 4 - One of them is (0, 0). Find the other critical point. SHOW ALL ALGEBRA! Use the Second Partials Test and classify the critical point (0, 0) as either LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA!

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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This 2-variable function has exactly TWO critical points: y? f (x, y) = 3 ry + 4 - One of them is (0, 0). Find the other critical point. SHOW ALL ALGEBRA! Use the Second Partials Test and classify the critical point (0, 0) as either LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA!
Transcribed Image Text:This 2-variable function has exactly TWO critical points: y? f (x, y) = 3 ry + 4 - One of them is (0, 0). Find the other critical point. SHOW ALL ALGEBRA! Use the Second Partials Test and classify the critical point (0, 0) as either LOCAL MAX, LOCAL MIN, or SADDLE POINT. SHOW ALL ALGEBRA!
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