Question: A closed box with a square base is to have a volume of 250 cubic meters. The material for the top and bottom of the box costs $2 per square meter. The material for the sides cost $1 per square meter. What is the minimum cost of constructing the box? Let x be the width of the square base and y the dimension of the height. The volume of the box is the area of the base times the height. As always, let x be the independent variable.

Target function f(x): \(f(x)=4{{x}^{2}}+\frac{1000}{x}\)
Domain of f(x) __ \((0,\infty )\) ____
Domain of f(x)__________
Exact value of 2nd derivative at critical value of x: \(x=5,\text{ }f''(5)=24\)

Max. or Min. value of f(x)___300 (maximum)________

Price: $2.99

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Deliverable: Word Document