3r - 2, if z

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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Question 12:
S3z – 2,
if z <k
|-2r + 3, otherwise.
Give an explicit expression for T = {k ER: fr is continuous on R}.
Let k eR be a parameter and set fa(1) =
Question 13:
Let a = 2m + 1, m E N and k € R. Set
P = {r€ R: |2r – 1| > a} and
Q = {r € R: |r+ k| < 3}.
(a) Give explicitly P an Q.
(b) Assuming m+ k < 2 and m – k < 3, give PnQ.
Transcribed Image Text:Question 12: S3z – 2, if z <k |-2r + 3, otherwise. Give an explicit expression for T = {k ER: fr is continuous on R}. Let k eR be a parameter and set fa(1) = Question 13: Let a = 2m + 1, m E N and k € R. Set P = {r€ R: |2r – 1| > a} and Q = {r € R: |r+ k| < 3}. (a) Give explicitly P an Q. (b) Assuming m+ k < 2 and m – k < 3, give PnQ.
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