5. Show that the function h(r, y) defined by if + y <1 h(r, y) = 0; if a + y >1 is discontinuous.
5. Show that the function h(r, y) defined by if + y <1 h(r, y) = 0; if a + y >1 is discontinuous.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:5. Show that the function h(r, y) defined by
if a + y < 1
h(r, y) =
0;
if a + y 2 1
is discontinuous.
Transcribed Image Text:Continuity
4. Let f(r, y) be a function defined on a disk D not containing the origin which
is given by
212
f(r, y) =
1² + y?
Show that
0 < f(x,y) < 2
for (r, y) e D.
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