Exam3 - Exam 3 Name 1(20 points A box with a square base and an open top must have a volume of 96 cubic inches If the bottom is going to have three

Exam3 - Exam 3 Name 1(20 points A box with a square base...

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Exam 3 Name : 1. (20 points) A box with a square base and an open top must have a volume of 96 cubicinches. If the bottom is going to have three layers for strength, find the dimensions of thebox that minimize the amount of material needed.
2. (20 points) The following function has the first and second derivatives provided for you:f(x) =x2x+ 3f(x) =x2+ 6x(x+ 3)2f(x) =18(x+ 3)3Give the horizontal asymptotes, if there are any:Give the vertical asymptotes, if there are any:Give the slant asymptotes, if there are any:Give the critical points:Give the intervals on which the function is increasing:Give the intervals on which the function is concave up:Provide a sketch of the graph on the following page.

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