A piece of cardboard measures 10 in. by 15 in. Two equal squares are removed from the corners of a 10-in. side . Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with lid. a. Write a formula V(x) for the volume of the box. b. Find the domain of V for the problem situation and graph V over this domain. c. Use a graphical method to find the maximum volume and the value of x that gives it. d. Confirm your result in part (c) analytically.

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