Math

CalculusQ&A LibraryAn open box of maximum volume is to be made from a square piece of material, s = 12 inches on a side, by cutting equal squares from the coners and turning up the sides (see figure). S-2r X (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, xLength and Width Volume, V 12 2(1) 1 1[12 2(1)12 2[12 2(2)12 = 100 12 2(2) 2. = 128 3[12 2(3)12 12 2(3) 3 12 2(4) 4[12 2(4)]2 4 12 2(5) 5[12 2(5)]2 12 2(6) 6[12 2(6)]2 Use the table to quess the maximum volume. =A (b) Write the volume Vas a function of x. 0 xQuestion

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