MATH 215 Final: finalF12
Document Summary
Please circle your section and write down your lab time: This is a 120 minutes closed book exam. This examination booklet contains 7 problems, on 16 sheets of paper including this front cover. The next to last page is a list of formulas which you might nd useful. The last page is blank and is to be used as scratch paper. Feel free to tear these last two pages away from the rest of the exam, but be careful to tear only those pages. Make sure your nal answer is clearly written in the corresponding answer box. No partial credit for this problem. (a) [true or false] if ~a ~b = ~a ~c, then either ~a = ~0 or ~b = ~c. False (b) [true or false] the integral r 2 . 0 r 4 enclosed by the cone z = px2 + y2 and the plane z = 4. r dz dr d represents the volume.
