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estimate the error

estimate the error

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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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%.
Transcribed Image Text: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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