1. Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 7 in/min. (12 points) 6" Note: Vrh, Vo = cone = 1 -rh 3 a) How fast the level in the pot rising when the coffee in the cone is 4 in deep? b) How fast is the level in the cone falling at that moment? How fast is this level falling? How fast is this level rising? 2. (12 pts) Sketch a graph of a function satisfying the following conditions. Be sure to: Label all points clearly with coordinates. Show appropriate scale markings on both axes. Identify all asymptotes (with equation, if any). Identify all local extrema and inflection points. f(0)=3 f(2)=-1 f(3)=0 lim f(x)=1 00-11 f'(2)=0 f'(0) does not exist f'(x)>0 on (-0,0) U(2,) f'(x)