5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.1, # 32) xy(x² - y²) (x² + y²) (a) If (x, y) = (0, 0), calculate (b) Show that of(0, 0) Let f (x, y) = if (x, y) ‡ (0, 0) and ƒ (0,0) = 0. af მყ af ?х and -(0,0) af ду = 0. .
5) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.1, # 32) xy(x² - y²) (x² + y²) (a) If (x, y) = (0, 0), calculate (b) Show that of(0, 0) Let f (x, y) = if (x, y) ‡ (0, 0) and ƒ (0,0) = 0. af მყ af ?х and -(0,0) af ду = 0. .
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
Related questions
Question
![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 f (0,0) = 0.
af
(a) If (x, y) = (0, 0), calculate of and
ду
af
(b) Show that of (0,0) = f (0,0) =
=
მყ
0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b7d2580-6e0c-4034-b41e-8cf2c4a4e82e%2Fa0909b82-6316-4ab9-92d7-7b4f2bb31943%2Fwjsgazh_processed.png&w=3840&q=75)
Transcribed Image Text: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 f (0,0) = 0.
af
(a) If (x, y) = (0, 0), calculate of and
ду
af
(b) Show that of (0,0) = f (0,0) =
=
მყ
0.
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