Calculus 3 — Paul Notes

Volume of a solid $E$: $$\iiint_E dV$$ Order matters! (e.g., $dz , dy , dx$).

If $z = f(x, y)$ and $x=x(t), y=y(t)$: $$\fracdzdt = \frac\partial f\partial x\fracdxdt + \frac\partial f\partial y\fracdydt$$ paul notes calculus 3