UPDATE 4: all problems should have solutions now. I also realized that partial derivatives are beyond the stated math prereq, so you can ignore problem 11 ... something like that will not be on the exam.
UPDATE 3: answers for all but 11 are included and some typos in the problems fixed.
UPDATE 2: answers for all but questions 6,
UPDATE: answers for about half the problems are up now. Should have the rest done in an hour or so.
Here you go. These are much closer to real exam problems. Read the general comments as well: one or two of these problems might just show up on the exam with little or no modification.
Answers & some solutions will follow later today.
UPDATE: I scratched the first problem (density and so forth) on further reflection.