A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 21 inch by 27inch piece of cardboard and folding up the sides. a) Let 10 be the length of the sides of the cut out squares. Determine a function V that describes the volume of the finished box in terms of w. W) = b) What width to would maximize the volume of the box? c) What is the maximum volume? A rectangle is inscribed with its base on the x-axis and its upper corners on the semicircle defined by m2 + y2 = 49 in Quadrants | and II. What is the greatest possible area? The maximum area = C] \f2 1 \"IIII The graph of the function f(m) = arctan a: is given above. Determine the limits: Please give an exact answer (no decimals) for all below (you might be required to on upcoming quizzes! tests). mu m - :1 gnaw m = :1