Blackbody Radiation Mathematica

Mathematica is an excellent software package to visualize equations. In this activity, you will ultimately reproduce the Figure 1.2 from your textbook (Engle/Reed) showing the variation in the frequency output from a blackbody radiator. But first...

1) Plot the frequency vs. spectral density when the blackbody is at 3000 K.

2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K.

3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text.

4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K.

All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See this wiki page: https://en.wikipedia.org/wiki/Planck%27s_law