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2 cards from this section. Quick, good the night before a test.
What is the formula for propagating uncertainty when adding two values?
Think about how you combine errors when adding values together.
How do you define a partial derivative?
Consider how you measure sensitivity to one input while ignoring others.
What formula do you use to propagate uncertainty in multiplication?
Think about how ratios work when combining uncertainties.
True or False: In propagation of uncertainty, we can simply add absolute uncertainties.
Reflect on the rules for combining uncertainties when doing complex operations.
Calculate total uncertainty when combining measurements where x = 2.0 ± 0.1 and y = 3.0 ± 0.2, where Q = x/y.
Start by calculating the relative uncertainties, then look at how to combine them for Q.
A cylindrical container has a radius of r = 1.5 ± 0.05 m and a height h = 4 ± 0.1 m. Calculate the uncertainty in the volume V = πr²h.
Apply the formula systematically: calculate the volume first, then unravel the uncertainties step by step.
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