Wednesday, 04/25/2012 will be permitted. 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. Your answer should be clearly labeled. sin(2x) = 2 sin x cos x. cos(2x) = cos2(x) sin2(x): please sign the following: On my honor, i have neither given nor received any aid on this exam- ination. I have furthermore abided by all other aspects of the honor code with respect to this examination. Signature: (1) (2) (3) (4) (/25 points) (/10 points) (/25 points) (/10 points) This question is about the fundamental theorem of calculus (a) (5 points) State both parts of the fundamental theorem of calculus as ac- curately as possible. Compute f (0), f (1) and f (2) Solution: for ease, we determine a formula for f . et 1 dt = et t(cid:12)(cid:12)(cid:12)(cid:12)
