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Sketch the indicated curves by the methods of this section. You may check the graphs by using a calculator.A rectangular box is made from a piece of cardboard 8 in. by 12 in. by cutting equal squares from each corner and bending up the sides. See Fig. $24.45 .$ Express the volume of the box as a function of the side of the square that is cut out and then sketch the curve of the resulting equation.

Calculus 1 / AB

Chapter 24

Applications of the Derivative

Section 5

Using Derivatives in Curve Sketching

Derivatives

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