1- Study the measurability of the functions:(sinx, x E [0,1] Q,i-f (x) = {x3+6%3D, х € [0,1] n @x2+2'ii- f(x) =(sinx, x € [0,1] — Р,x3+6x2+2X E P,where P is a not measurable subset of [0,1].

Given: fx=sinx,x∈0,1-ℚx3+6x2+2,x∈0,1∩ℚ fx=sinx,x∈0,1-Px3+6x2+2,x∈P and P is not measurable subset…

Answered: Study the measurability of the…

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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Study the measurability of the functions: (sinx,x e [0,1] – Q. | i-f (x) = } x3+6 x € [0,1] n Q (sinx, x e [0,1] P, x2+2' ii- f(x) = x3+6 ,x € P, x2+2' where P is a not measurable subset of [0,1].