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Directions: Use error propagation to calculate the uncertainty and percent uncertainty of the depl ...
Directions: Use error propagation to calculate the uncertainty and percent uncertainty of the deplendent quantity in terms of the measured quantities shown (independent variables). Remember, given \( \mathrm{A}=\mathrm{A}(\mathrm{x}, \mathrm{y}, \mathrm{z}, \ldots) \) where the measured quantities have uncertainties \( \delta \mathrm{x}, \delta \mathrm{y}, \delta \mathrm{z}, \ldots \) then \[ \delta A=\sqrt{\left(\frac{\partial A}{\partial x}\right)^{2}(\delta x)^{2}+\left(\frac{\partial A}{\partial y}\right)^{2}(\delta y)^{2}+\left(\frac{\partial A}{\partial z}\right)^{2}(\delta z)^{2}+\ldots} \]