Tuesday, 02/01/2011 you cite a theorem be sure to verify the hypotheses are satis ed: complete the following problems. You may use any result from class you like, but if: this is a closed-book exam, however you may have one sheet of notes on 8. 5 by 11 inch paper with handwriting on both sides. No calculators or other electronic aids will be permitted. Your answer should be clearly labeled: in order to receive full credit, you must show all of your work and justify your answers, if you need extra room, use the back sides of each page. Staple any scratch paper to: the following formulas may be of use on this exam: your exam. sin(2x) = 2 sin x cos x. cos(2x) = cos2(x) sin2(x). Volume of a cylinder : v = r2h. Volume of a cone : v = r2h. Circumference of a circle : c = d = 2 r: please sign the following: