u-vw1- Given the function f =v2- w, estimate the error and theapproximate percent relative error in f given the following data:u = 1.5 ± 0.1, v = –2 ± 0.06 and w = 3 ± 0.02x³y++z³y2- Given the function f (x,y,z)= *"y"+2"Y, estimate the error andapproximate percent relative error in f given the following datax = 1, y=2± 0.2 and z = 1 ± 0.3.3- Use the bisection method to find a root of the equation x2= -sin x in the interval [-1, 0] with ɛs = 0.06%.4- Approximate v5 using the bisection method with &s = 0.05%.

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Math

Advanced Math

estimate the error

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

u-vw
1- Given the function f =
v2
- w, estimate the error and the
approximate percent relative error in f given the following data:
u = 1.5 ± 0.1, v = –2 ± 0.06 and w = 3 ± 0.02
x³y++z³y
2- Given the function f (x,y,z)
= *"y"+2"Y, estimate the error and
approximate percent relative error in f given the following data
x = 1, y=2± 0.2 and z = 1 ± 0.3.
3- Use the bisection method to find a root of the equation x2
= -sin x in the interval [-1, 0] with ɛ
s = 0.06%.
4- Approximate v5 using the bisection method with &s = 0.05%.

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