=====Mathematics 250 - Spring 2016=====

==== Homework ====

**Section 9.2**: 7, 9, 10

**Section 9.4**: 7, 10

And: Let $\displaystyle{I = \int_{-\infty}^\infty e^{-\frac{x^2}{2}}dx}$.
  - Show that $\displaystyle{I^2 = \int_{-\infty}^\infty \int_{-\infty}^\infty e^{-\frac{x^2 + y^2}{2}}dxdy}$.
  - Use polar coordinates to show that $I^2 = 2\pi$ and, hence, that $I = \sqrt{2\pi}$.