The formula for the uncertainty in ² is A(x²) = 2xAx. a) James tries to derive this formula starting from the expression A(zy)= = xy√(Ax/x)² + (Ay/y)2 and setting y = x. He ends up with A(2²) = √2xAx. What was his mistake? b) What happens when a is very small? How about when a is very large?
The formula for the uncertainty in ² is A(x²) = 2xAx. a) James tries to derive this formula starting from the expression A(zy)= = xy√(Ax/x)² + (Ay/y)2 and setting y = x. He ends up with A(2²) = √2xAx. What was his mistake? b) What happens when a is very small? How about when a is very large?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
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Transcribed Image Text:7.
The formula for the uncertainty in a² is A (x²) = 2xAx.
a) James tries to derive this formula starting from the expression
A(ry) = xy√(Ax/x)² + (Ay/y)² and setting y = x. He ends up with A(22) = √2xAx.
What was his mistake?
b) What happens when a is very small? How about when x is very large?
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