{ z sin a). if (x, y) # (0,0) 2. Determine if a function f: R2 R defined by (. 9) = BE 0, if (KJ) = (0,0) %3D is continuous at (0,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Show (in terms ofe – a) that a function f: R3 -R defined by
fEyz) = (2x + 3y + 4z) is uniformly continuous.
r sin (), if (z, y) # (0, 0)
2. Determine if a function f: R2 -R defined by (. y) =
0, if
(X3) = (0,0)
is continuous at (0,0).
Transcribed Image Text:1. Show (in terms ofe – a) that a function f: R3 -R defined by fEyz) = (2x + 3y + 4z) is uniformly continuous. r sin (), if (z, y) # (0, 0) 2. Determine if a function f: R2 -R defined by (. y) = 0, if (X3) = (0,0) is continuous at (0,0).
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