Consider a 10 in x 10 in squared piece of paper. We want to cut off...

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Consider a 10 in x 10 in squared piece of paper. We want to cut off squares from the corners to make a topless box, 1. If the squares have side x, write a function f(x) that gives the volume of the box. 2. Find the critical points of f(x). 3. Find the maximum of f(x). Consider a 10 in x 10 in squared piece of paper. We want to cut off squares from the corners to make a topless box, 1. If the squares have side x, write a function f(x) that gives the volume of the box. 2. Find the critical points of f(x). 3. Find the maximum of f(x).