18. A box is to be made out of a 10 cm by 16 cm...
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18. A box is to be made out of a 10 cm by 16 cm piece ofcardboard. Squares of side length ? cm will be cut out of eachcorner, and then the ends and sides will be folded up to form a boxwith an open top. Find the maximum volume of the box.
19. A rectangle is inscribed with its base on the x-axis and itsupper corners on the 2 parabola ? = 8 − ? . What are the dimensionsof such a rectangle with the greatest possible area?
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