E, Ex, ɛy and ɛz denote the errors in x,y and z respectively such thatx = y = z = 1 and E = ɛy = ɛ; = 0.001, then find the relative maximum error in u.(f) Given that u =(g) Show that the relative error in quotient of two quantities x and y may be expressed asdifference between the relative errors in x and y.(h) Given that u5.xyE.. and s, denote the errors in rv and z resnectivelv such that

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Given that u = *, Es, Ey and ɛ; denote the errors in x,y and z respectively such that x= y =z=1 and & = ɛy = ɛ; = 0.001, then find the relative maximum error in u.

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

E, Ex, ɛy and ɛz denote the errors in x,y and z respectively such that
x = y = z = 1 and E = ɛy = ɛ; = 0.001, then find the relative maximum error in u.
(f) Given that u =
(g) Show that the relative error in quotient of two quantities x and y may be expressed as
difference between the relative errors in x and y.
(h) Given that u
5.xy
E.. and s, denote the errors in rv and z resnectivelv such that

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