Read before you begin: this exam contains 11 problems for a total of 140 points. There are 10 pages including the cover sheet. You are responsible for checking that they are all present: you must show all work to completely justify your answers in order to receive any credit. Unsupported answers will receive little or no credit. If you do not use the de nition of the derivative, you will receive. No credit: (5 points) let xy = sin(x) + 2. 2: (10 points) find the horizontal and vertical asymptotes of the curve given by f (x) = You must justify your work by computing the appropriate limits. x2 4 x2 + x 6: (10 points) water is being poured into a conical reservoir at the rate of cubic feet per second. The reservoir has a radius of 6 feet across the top and a height of 12 feet.
