You may use a calculator, but no books or notes. Note that the take-home problems are worth 12 points. take home. Find the derivative dy dx (a) y = cot(2x) (b) y = tan(5) (c) y = x sec(x2) (16) 2. You may assume that y = y = Use this information to graph the function. (2) (a) give the equation of the horizontal asymptote. page 2. Label the critical points and the in ection points. (12) 3. At a certain instant, there is 53 feet of string out; the kite is 45 feet above the ground, and is directly over a tree 28 feet from john. If the altitude of the kite is constant, and the kite is travelling at 15 feet per second, how fast is the string running out? (14) 5. Find the x and y coordinates of all of the absolute maximums and absolute minimums of y = x4.
