Question

A 8.5 by 11 inch piece of paper has an identical square (with side length x) cut out of each corner. Then the edges are folded up to form a box without a lid. What does the value of x need to be in order to maximize the volume of the box? Type out all of your work below in order to receive partial credit.

A circle is expanding. Its radius is increasing at a rate of 3 centimeters per second. How fast is the circumference changing when the circumference is 40 cm? Include all work in the box below to receive partial credit.

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