MATH 112 Lecture Notes - Lecture 16: Even And Odd Functions

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For a piece of paper, the length is 12 inches, the width is 8 inches, now we cut off the four corners. The cut off parts are square with same side length x. Fold the rest part of the paper into a cube. Find the equation for the volume of the box. The sum of two side length of the small square can not go pass the length and width of the paper. We cut 2x from the width with length 8 inches and length with 12 inches from the paper. So the width of the box is 8-2x. the length of the box is 12-2x. and the height is the length of the small square which is x. so. We only need to look at the domain range 0

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