>Let m be the slope of the line of the graph of force F vs distance d. Then we know m is a function of $\epsilon_{0}$, $V$, and $A$

$<br /> m(\epsilon_{0}, V, A)=\frac{\epsilon_{0}V^{2}A}{2}<br />$

>Then the uncertainty in m must be

$<br /> \delta m=\sqrt{\left ( \frac{\partial m}{\partial \epsilon_{0}}\delta\epsilon_{0} \right )^{2}+\left ( \frac{\partial m}{\partial V}\delta V\right )^{2}+\left ( \frac{\partial m}{\partial A}\delta A \right )^{2}<br /> <br /> }<br />$

>Suppose we know $V$ and $A$ with absolute certainty, then

$<br /> \delta m= \frac{\partial m}{\partial \epsilon_{0}}\delta\epsilon_{0}<br />$

>then the uncertainty in $\epsilon_{0}$ is

$<br /> \delta\epsilon_{0}= \frac{\delta m}{<br /> \frac{\partial m}{\partial \epsilon_{0}}<br /> }<br />$

My question is, if I just don't fucking want to propagata the uncertainties for V and A because I'm running out of time, is it valid to assume them to be known with absolute certainty?