1. Calculate the probability of an electron in the 3dz2 orbital being found in the "donut." The 3dz2 orbital is given by: 8161(a0Z)3/22e/3(3cos21) where =Zr/a0. Image from wikipedia. Hint: integrate the appropriate expression over all r and and from the first polar node to the next polar node; that will encompass the entire space of the donut. Recall that the nodes can be calculated by determining what values of r, or result in a value of zero for the wavefunction (or, equivalently, orbital). Definitely make use of a numeric solver for integration unless you love integration by parts