Suppose you have a square with side s. You want to measure the area of the square. Everyone knows, of course that for a square, $A = s^2$. It can be shown, using calculus, that in general, if $y = x^a$ then $\delta y = a \delta x$. You measure the side of your square and evaluate its uncertainty by determining the standard deviation. It turns out that $s = (10.00 \pm 0.03)$ cm. Calculate A, $\delta_s$, $\delta_A$, and $\epsilon_A$.
