When one knows the true values x1 and x2 and has approximations X1 and X2 at hand,
Question:
(a) Show that the error in a sum X1 + X2 is
(x1 + x2) − (X1 + X2) = e1 + e2
(b) Show that the error in a difference X1 − X2 is
(x1 − x2) − (X1 − X2) = e1 − e2
(c) Show that the error in a product X1 X2 is
x1 x2 − X1X2 = X1X2 (e1/X1 + e2/X2)
(d) Show that in a quotient X1/X2 the error is
x1/x2 − X1/X2 = X1/X2 (e1/X1 – e2/X2)
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Related Book For
Shigleys Mechanical Engineering Design
ISBN: 978-1121345317
9th edition
Authors: Richard G. Budynas, J. Keith Nisbett
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