[latex]1.b) div $\vec{v}$ = (gx, -gy,0)^T \\ \\
2.a) $rot f = 0 $ \\ \\
3.a) $ w = $y-yx-\frac{1}{2}*x^2$$ \\ \\
4.a) $ f(x,y) = -4sin (2x), g = 0$ \\ \\
b) $ w(x,y) = e^(y-1) * sin (2x)$\\ \\
5.a)$ F_{x}(t) = 5A$^(-4)$t^4-4*A^(-5)t^5$ \\ \\
b) $E(X) = \frac{2}{3}*A$ \\ \\
6.a) $11-2,353 \leq \mu \leq 11+2,353$ \\ \\
$\frac{12}{7,82} \leq \sigma^2 \leq \frac{12}{0,352}$ \\ \\
b) $\frac{9}{7,82} \leq \sigma^2 \leq \frac{9}{0,352}$ \\ \\
c) $n = 400 $?
? [/latex]
