1. If Y = Aexp(-ar), what is the d{r²dY/dr}/dr

2. Show that Y = sin(mf) is a solution to the equation:

(d² Y/df²) = -m²Y

3. Draw the graph of Y vs r for the 1 s hydrogen atom electron and the graph of Y²*4pr² dr vs r

4a. What is Y when n=2 l=1 and m_l =0. What is the function? What does it look like?

4b. What the value of Y be at 0.12 nm from the nucleus of a H atom on the z axis. What are the units on this value.

5. Show how the separation of variables occurs in the following equation (1 or 2 steps):