State whether the given function is even or odd. then, showing the details of your work, find the fourier series of the function, with period 2pi. result should be in closed form. plot using octave or matlab the first few non-zero partial sums for each case.

f(x)=x for -pi/2
f(x)=pi-x for pi

When you see distant streetlights through smog, they look dimmer and redder than they do normally. but when you see the same streetlights through fog or falling snow, they look dimmer but not redder. use your knowledge of the interstellar medium to discuss the relative sizes of the particles in smog, fog, and snowstorms compared to the wavelength of light.