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Q2 Let a < b and consider the function & : a, b R given by (0 ifa

Q2 Let a < b and consider the function & : a, b R given by (0 ifa

Advanced Engineering Mathematics
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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Q2 Let a <b and consider the function o, : a, b→R given by 0ifa <a < b. ds (x) = { , 1 if r = b Prove that for any partition P of [a, b], L(8,, P) = 0. Q3 Consider the function 8, : a, b R from Question 2. Prove that for any given e > 0 there exists a partition P of a, c with U(0, P) < E. Explain whether o, is Riemann integrable and, if it is, find its Riemann integral.
Transcribed Image Text:Q2 Let a <b and consider the function o, : a, b→R given by 0ifa <a < b. ds (x) = { , 1 if r = b Prove that for any partition P of [a, b], L(8,, P) = 0. Q3 Consider the function 8, : a, b R from Question 2. Prove that for any given e > 0 there exists a partition P of a, c with U(0, P) < E. Explain whether o, is Riemann integrable and, if it is, find its Riemann integral.
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