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Mathematical Expression Editor
Please answer this question to the best of your ability. You are welcome to re-watch
parts of any of the videos to help you.
Suppose you want to determine the maximum area of an isosceles triangle that has a
perimeter of 30 inches (see the image below). Which function would you need to
differentiate (in terms of a single variable)?
A company wants to fence a rectangular storage area consisting of three separate
compartments of equal size (see the image below). The fencing costs $3.00 per linear
foot and the company has a budget of $180 for building the storage area. Find
the length (l) and width (w) of the storage area that maximizes the total
area.
and
We want to construct a box with a square bottom, rectangular sides, and no top. We
have exactly 10 of material for building the box. If we use all of the material in
building the box, what is the largest volume we could enclose in the box? (Round
your answer to 3 decimal places.)