Continuity 4. Let f(r,y) be a function defined on a disk D mot containing the origin which is given by 212 f(1, y) = 1² + y? Show that 0< f(x, y) < 2 for (r, y) € D.
Continuity 4. Let f(r,y) be a function defined on a disk D mot containing the origin which is given by 212 f(1, y) = 1² + y? Show that 0< f(x, y) < 2 for (r, y) € D.
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
![5 Show that the function h(r, y) defined by
if r +y? < 1
x2-
h(x, y)
0; if r +y 2 1
is discontinuous.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c40871b-96ab-47c0-a60b-ec32e4020d86%2F967f54fc-b740-4b61-ac8d-1601a5897151%2F3u793b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5 Show that the function h(r, y) defined by
if r +y? < 1
x2-
h(x, y)
0; if r +y 2 1
is discontinuous.
![Continuity
4. Let f(r, y) be a function defined on a disk D not containing the origin which
is given by
f(r, y) =
x² + y?
Show that
0 < f(x, y) < 2
for (r, y) € D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c40871b-96ab-47c0-a60b-ec32e4020d86%2F967f54fc-b740-4b61-ac8d-1601a5897151%2F1jvaasd_processed.jpeg&w=3840&q=75)
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
f(r, y) =
x² + y?
Show that
0 < f(x, y) < 2
for (r, y) € D.
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