Question: An open box is to be constructed from a rectangular sheet of metal. 8 inches by 15 inches. by cutting out squares with sides of

An open box is to be constructed from a rectangular sheet of metal. 8 inches by 15 inches. by cutting out squares with sides of length 17 from each corner and bending up the sides. [i] Express the volume 1-" as a function ot'x. [ ii I Find the domain of F. (iii) Plot the graph of the function Fobtained in part {a} and estimate the range of this function. [iv] In words. describe how one might construct boxes ofin imuml volume. [1(2)]

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