Question 2 2a) Let E be a non measurable Set then Select a true statement for the function f(xxx) = 1₂ x EE and f(x) = -1, XeE² Select more or one. (a) f(x) is measurable (b) None of the options (c) 4/² is measurable f' is is measurable. 2 (d) 2(b) Let 2 feo = x₁²₂ xEQ f0EO,xel then evaluate / foo du Select one (a) 1/2 (e+1) (b) 1/2 (e-1) (e) O (d) 1/2e (20) If A, B are Measurable subsets of finite measure such that ACB the select true statements. (9) H(B) ≤ M(A) (b) M(A) ≤ μ(B) (0) H (B-A) = H(B) - H(A) (d) None of the options. 2(d) Define the function _fox) = x²₁ x6Q; f(x)=0₂ XE QC then, Select one or more. (a) foc) is measurable. (b) f(x) = 0 (9.e.) (c) fee) is Continuous (d) f(x) = x² (a.e) (e) f(a) is integrable on on [0,1].
Question 2 2a) Let E be a non measurable Set then Select a true statement for the function f(xxx) = 1₂ x EE and f(x) = -1, XeE² Select more or one. (a) f(x) is measurable (b) None of the options (c) 4/² is measurable f' is is measurable. 2 (d) 2(b) Let 2 feo = x₁²₂ xEQ f0EO,xel then evaluate / foo du Select one (a) 1/2 (e+1) (b) 1/2 (e-1) (e) O (d) 1/2e (20) If A, B are Measurable subsets of finite measure such that ACB the select true statements. (9) H(B) ≤ M(A) (b) M(A) ≤ μ(B) (0) H (B-A) = H(B) - H(A) (d) None of the options. 2(d) Define the function _fox) = x²₁ x6Q; f(x)=0₂ XE QC then, Select one or more. (a) foc) is measurable. (b) f(x) = 0 (9.e.) (c) fee) is Continuous (d) f(x) = x² (a.e) (e) f(a) is integrable on on [0,1].
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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Question 2
2a) Let E be a non measurable Set then
Select a true statement for the function
f(xxx) = 1₁ x EE and f(x) = -1, x € E²
Select more or one.
b
2(b) Let
(a) foc) is measurable
(b) None of the options.
(c) 4/² is measurable
(d)
f² is measurable.
2
fex) = x ²² x€Q
f(x) = 0, xEQ
then evaluate f foo du
Select one
(a) 1/2 (e+1)
(b) 1/2 (e-1)
(e) O
id 1/2 e
2c) If A, B are Measurable subsets of finite
measure such that ACB the select trie
statements
(9) H(B) ≤H (A)
M(A) ≤ M (B)
(b)
(0)
H (B-A) = H(B) -H(A)
(d) None of the options.
2(d) Define the function
_fox) = x²₁ x €q; fbxx)=0₂ XE QC
then, Select one
or more.
(a) foo) is measurable
(b) f(x) = 0 (9.e.)
(c) fue) is Continuous
(d) fix) = x² (a.e)
(e)
fle is integrable on [0,1].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15dc8ad5-c38d-4e49-b457-90ead50d7ae7%2Fd66443da-0e93-4a6e-91f7-8d3badf6e01d%2Fgecfm4h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show workings
Question 2
2a) Let E be a non measurable Set then
Select a true statement for the function
f(xxx) = 1₁ x EE and f(x) = -1, x € E²
Select more or one.
b
2(b) Let
(a) foc) is measurable
(b) None of the options.
(c) 4/² is measurable
(d)
f² is measurable.
2
fex) = x ²² x€Q
f(x) = 0, xEQ
then evaluate f foo du
Select one
(a) 1/2 (e+1)
(b) 1/2 (e-1)
(e) O
id 1/2 e
2c) If A, B are Measurable subsets of finite
measure such that ACB the select trie
statements
(9) H(B) ≤H (A)
M(A) ≤ M (B)
(b)
(0)
H (B-A) = H(B) -H(A)
(d) None of the options.
2(d) Define the function
_fox) = x²₁ x €q; fbxx)=0₂ XE QC
then, Select one
or more.
(a) foo) is measurable
(b) f(x) = 0 (9.e.)
(c) fue) is Continuous
(d) fix) = x² (a.e)
(e)
fle is integrable on [0,1].
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