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Q1. If 0. 11 was approximated by 0.09, then a) Find the relative error. b) Find the relative error percentage. c) Find how many significant digits is the approximation.

Q1. If 0. 11 was approximated by 0.09, then a) Find the relative error. b) Find the relative error percentage. c) Find how many significant digits is the approximation.

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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Q1. If 0. 11 was approximated by 0.09, then a) Find the relative error. b) Find the relative error percentage. c) Find how many significant digits is the approximation. Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) = (e* -1-x)/x? b) Q(0.01), where Q(x) = 0.5 + x/6 + x³/24 c) What is the error in P(0.01) if the true value is 0.50167084 %3D %3D d) What is the error in Q(0.01) if the true value is 0.50167084 e) Which one is more accurate? Q3) Answer the following: f) If you approximate 0.60167084 using chopping to 4 digits, what will be the approximated value? g) If you approximate 0.60167084 using rounding to 4 digits, what will be the approximated value?
Transcribed Image Text:Q1. If 0. 11 was approximated by 0.09, then a) Find the relative error. b) Find the relative error percentage. c) Find how many significant digits is the approximation. Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) = (e* -1-x)/x? b) Q(0.01), where Q(x) = 0.5 + x/6 + x³/24 c) What is the error in P(0.01) if the true value is 0.50167084 %3D %3D d) What is the error in Q(0.01) if the true value is 0.50167084 e) Which one is more accurate? Q3) Answer the following: f) If you approximate 0.60167084 using chopping to 4 digits, what will be the approximated value? g) If you approximate 0.60167084 using rounding to 4 digits, what will be the approximated value?
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