Choose any 3 questions: (Handwritten answers will be accepted only) 1. For the curve y = 2- 12x + 9x2 - 2x3 /10 (K/U) a) Find the intervals of increase and decrease. Find the local maximum and minimum values. C Find the intervals of concavity. d) Find any points of inflection e) Sketch the curve 2. Determine the economical shape of the can with volume of 355 cm' 16 (T/I) 3. Leopard golf clubs usually sell for $1300. At this price, the retailer can sell on average 20 sets per week. For every $50 reduction in price, sales of the golf increase by two sets per week. Similarly, for every $50 increase in price, sales decrease by two sets per week. Determine the optimum price to maximize revenue. 18 (A) 4. Sketch the function f(x) = x/x - 9 without using graphing technology. Determine enough information to make an accurate graph. You should include intercepts details, asymptotes, extremas, points of inflection, and other significant details, and justifying your results with analytic methods. 16 (A,C) 5. A soup can of volume 500 cm ' is to be constructed. The material for the top costs 0.4c/cm while the material for the bottom and sides costs 0.2c/cm2. Find the dimensions that minimize the cost of producing can. 18 (T/I)