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5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.1, # 32) xy(x² - y²) (x² + y²) Let f (x, y) = · if (x, y) ‡ (0, 0) and ƒ (0,0) = 0.

5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.1, # 32) xy(x² - y²) (x² + y²) Let f (x, y) = · if (x, y) ‡ (0, 0) and ƒ (0,0) = 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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f əx (c) Show that(0, 0) ·(0,0) = 1, = 1,5 (0,0) = -1 (d) What went wrong? Why are the mixed partials not equal? ·
Transcribed Image Text:f əx (c) Show that(0, 0) ·(0,0) = 1, = 1,5 (0,0) = -1 (d) What went wrong? Why are the mixed partials not equal? ·
5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.1, # 32) xy(x²-y²) if (x, y) ‡ (0,0) and ƒ (0,0) = 0. (x² + y²) Let f (x, y) =
Transcribed Image Text:5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.1, # 32) xy(x²-y²) if (x, y) ‡ (0,0) and ƒ (0,0) = 0. (x² + y²) Let f (x, y) =
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