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An Open Box Is to Be Made from a Square

question 52

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An open box is to be made from a square piece of cardboard, 72 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume. An open box is to be made from a square piece of cardboard, 72 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.     A)    ×   ×   B)    ×   ×   C)    ×   ×   D)    ×   ×   E)    ×   ×  An open box is to be made from a square piece of cardboard, 72 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.     A)    ×   ×   B)    ×   ×   C)    ×   ×   D)    ×   ×   E)    ×   ×


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