Q1. If 0. 11 was approximated by 0.09, thena) 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 + x³/24c) What is the error in P(0.01) if the true value is 0.50167084%3D%3Dd) What is the error in Q(0.01) if the true value is 0.50167084e) Which one is more accurate?Q3) Answer the following:f) If you approximate 0.60167084 using chopping to 4 digits, what will be theapproximated value?g) If you approximate 0.60167084 using rounding to 4 digits, what will be theapproximated value?

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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.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time

Section: Chapter Questions

Problem 31A

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Question

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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