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
icon
Related questions
Question
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: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.
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,