1) a) Sketch the graph using guidelines of f(x) = 2x3-2x2-12x b) Estimate the area under the graph of f(x)-2x3-2x2-12x from x--2 to x-3 using five approximating rectangles and right endpoints. c) Using five approximating rectangles and midpoint rule. d) Express the integral 2x 2x2 12x dx as a limit of Riemann sums. Evaluate tuhe Limit. L 2 n(n+1)(2n+1) 2) A box with an open top is to be constructed from a square piece of cardboard of 4ft by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have 6x3 3) a) Sketch the graph using guidelines of f (x) =-