5. Show that the function h(r, y) defined byif a + y < 1h(r, y) =0;if a + y 2 1is discontinuous. Continuity4. Let f(r, y) be a function defined on a disk D not containing the origin whichis given by212f(r, y) =1² + y?Show that0 < f(x,y) < 2for (r, y) e D.

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Answered: 5. Show that the function h(r, y)…

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5. Show that the function h(r, y) defined by if + y <1 h(r, y) = 0; if a + y >1 is discontinuous.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 39CR: For T:R5R3 and nullity(T)=2, find rank(T).

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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.

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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