|l 1. Let f be the function dened by x2 J" (I) (4H? [3.) Determine the vertical and horizontal asymptotes {show all limits}. (4) (b) Use the sign pattern for f' (m) to determine (i) the interval(s) over which f rises and where it falls; (4) (ii) the local extrema. (2) (c) Use the sign pattern for f" (3:) to determine (i) where the graph of f is concave up and where it is concave down. {4} (ii) the inection points (if any) (2) [13] 2. The volume of a cube is increasing at a rate of 1200 cma/min at the moment the lengths of the sides are 20 em. How fast are the lengths of the sides increasing at that moment? [3] 3. Find the exact value of cosec (cos'l (325) lsin_1 (325)) . [3] 4. Use L'Hopital's Rule to determine . 1 2 (a) 311.1% (E _ mu + 23)) [6) (b) $1350 21:\" (7) to) $13300 + if\" (7) [20]