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A 12-in.-by-24-in. sheet of cardboard is folded in half to form a 12-in.-by-12-in. rectangle as shown in the accompanying figure. Then four congruent squares of
A 12-in.-by-24-in. sheet of cardboard is folded in half to form a 12-in.-by-12-in. rectangle as shown in the accompanying figure. Then four congruent squares of side length x are cut from the corners of the folded rectangle. The sheet is unfolded, and the six tabs are folded up to form a box with sides and a lid. Complete parts (a) through (f) below. X X 12 in. Base 24 in. 12 in.- 24 in. a. Write a formula V(x) for the volume of the box. V(x) = 2x(12 -2x)- b. Find the domain of V for the problem situation and graph V over this domain. The domain is (0,6). (Use interval notation.)Choose the correct graph of V below. O A. O B. AV 260- O O C. AV 260- OD. AV 260- AV 260
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