Sj. Let f be a measurable function with domain DER and let ECD be a measurable subset of D. Show that is measurable. f(x) F(x) = { $(2) if x € E 0 if x € D\E
Sj. Let f be a measurable function with domain DER and let ECD be a measurable subset of D. Show that is measurable. f(x) F(x) = { $(2) if x € E 0 if x € D\E
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3).
Let f be a measurable function with domain D ER and let
ECD be a measurable subset of D. Show that
is measurable.
ƒ(x) = { $(x²)
0
if x € E
if x € DE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed13107b-1299-404a-8b1e-346b342ec76c%2F546df0ed-82a1-46cc-892e-9467a508c87a%2Ff6ymnwt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3).
Let f be a measurable function with domain D ER and let
ECD be a measurable subset of D. Show that
is measurable.
ƒ(x) = { $(x²)
0
if x € E
if x € DE
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