MATH 126 Midterm: spring2007
Document Summary
You must show your work to obtain full credit. Points may be deducted if you do not justify your nal answer. Please indicate clearly whenever you continue your work on the back of the page. The exam is worth a total of 200 points. 200: (10 points) find the limit if it exists: lim x 0 ex 1 x cos (2x) cos (3x, (40 points) evaluate the following integrals. (a) z x tan2(x) dx. 2 x4 + x2 dx (c) z x3. 1 x2 dx: (15 points) evaluate the integral z 1. 0 ln x dx: (20 points) consider the region r bounded by y = x2 6 and y = x. It is lled to half its height with water. Set up, but do not evaluate, an integral for the work required to empty the tank by pumping water to the top of the tank.
