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7202 PM Mon Nov 27 mamasratlonalreasonmgnet Show Intro/Instructions A 16 X 6 ft piece of plywood is being used to build an open-top box. The
7202 PM Mon Nov 27 mamasratlonalreasonmgnet Show Intro/Instructions A 16 X 6 ft piece of plywood is being used to build an open-top box. The box is formed by making equal-sized square cutouts from two comers of the plywood at the ends of one of the 16-foot sides. Aer these squares are discarded, three more cuts are made (at the dashed lines on the gure) and these pieces are "folded up" and secured to create three of the four vertical sides. When the open side is placed against a wall, the open top box is formed. (Ignore the thickness of the wood when answering these questions.) 3 Which of the following expressions denes a function h that determines the volume of the box in terms of the length a: of the side of the square cutout. (Assume the length is greater than the width.) Oh(:z:) = (16 m)(6 z)(z) Ohm) = (16 2z)(6 210(2) 011(1) = (16 21:)(6 z)(z) Om) = (16 2z)(6 2:12) 011(1) = (16 z)(6 2z)(:1:) 011(2) = (16 z)(6 :12) What is the domain of h in the context of this question (expressed in interval notation)? / . ' \ r:) Prewew Let g equal the same symbolic expression as h without the context of this question. In particular, determine the domain of the symbolic expression without taking into account any real-world constraints. What is the domain of 9 (expressed in interval notation)? :3 1" mm \ / Box 1: Select the best
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