a) If a speedometer’s absolute error is 2 mph and it measures a speed of 60 mph, what is the relative error of this measurement expressed as a percentage? b) Find the absolute error for f'(2) for f(x) = x, given that s'(2) = {(x + h) – f(z) and h = 0.1. h c) Find the most accurate value for the following operation where each number has been rounded to a certain decimal point: 6.232 + 7.0321 + 5.43 – 3.385

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 1
a) If a speedometer's absolute error is 2 mph and it measures a speed of 60 mph, what is
the relative error of this measurement expressed as a percentage?
b) Find the absolute error for f'(2) for f(x) = x,
given that
f(x+h) – f(x)
f'(x) =
and h = 0.1.
h
c) Find the most accurate value for the following operation where each number has been
rounded to a certain decimal point:
6.232 + 7.0321 + 5.43 – 3.385
Transcribed Image Text:Question 1 a) If a speedometer's absolute error is 2 mph and it measures a speed of 60 mph, what is the relative error of this measurement expressed as a percentage? b) Find the absolute error for f'(2) for f(x) = x, given that f(x+h) – f(x) f'(x) = and h = 0.1. h c) Find the most accurate value for the following operation where each number has been rounded to a certain decimal point: 6.232 + 7.0321 + 5.43 – 3.385
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