4. A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares from the corners and folding up the sides as shown. The volume of the box is given by: V = 4x3 - 16x2 + 16x. It is determined that the volume will be at a maximum if the cut-out squares have sides of ft. Is this correct? Explain why or why not. Show ALL your work to support your answer. 4-2X 4-ax

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A: From the given function: plot  f(x)=3 from -∞<x≤-2 plot  f(x)=-2x-1 from x>-2  to x≤1   x…

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