error analysis stuff

This commit is contained in:
caes 2017-01-13 03:30:24 -05:00
parent 43c2b48ac8
commit 5649ee29f2
4 changed files with 27 additions and 5 deletions

5
Error Analysis/Practice Normal file
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1) a) 9 ± 2.24, 9 ± 24.9%
b) 1 ± 2.24, 1 ± 224%
c) 15 ± 2.24, 15 ± 14.9%; if c had no error, then it comes to ± 2.2360, so I would still round that to ± 2.24
2) 120

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Z = X + Y OR Z = X - Y
_________
ΔZ = √ΔX² + ΔY²
Z = X * Y OR Z = X / Y
__________________
_ΔZ_ = / ⎛_ΔX_⎞² + ⎛_ΔY_⎞²
Z √ ⎝ X ⎠ ⎝ Y ⎠
Z = Xⁿ
ΔZ = n X⁽ⁿ⁻¹⁾ ΔX, i.e. _ΔZ_ = n _ΔX_
Z X
Z = 𝑓(X,Y,...)
ΔZ² = ⎛_∂f(X,Y)_ ΔX⎞² + ⎛_∂f(X,Y)_ ΔY⎞² + ...
⎝ ∂X ⎠ ⎝ ∂Y ⎠

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1) a) 9 ± 3, 9 ± 33%
b) 1 ± 3, 1 ± 300%
c) 15 ± 3.2, 15 ± 21.3%; if c had no error, then, 15 ± 3, 15 ± 20%
2)