An open-top box is to be constructed from a 4 in by 14 in rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. let x denote the length of the side of each cut-out square. assume negligible thickness.(a) find a formula for the volume, v, of the box as a function of x. v(x)=(b) for what values of x does the formula from part (a) make sense in the context of the problem? (inequalities)(c) on a separate piece of paper, sketch a graph of the volume function.(d) what, approximately, is the maximum volume of the box? (include units: (units))