An open–top box with a square base is to be constructed from two materials, one for the bottom and one for the sides. The volume of the box must be 18 cubic feet. The cost of the material for the bottom is 4 pesos per square foot, and the cost of the material for the sides is 3 pesos per square foot. Find the dimensions of the box such that the cost is at its minimum. Find the domain of the function, the critical points and include the second derivative test
An open–top box with a square base is to be constructed from two materials, one for the bottom and one for the sides. The volume of the box must be 18 cubic feet. The cost of the material for the bottom is 4 pesos per square foot, and the cost of the material for the sides is 3 pesos per square foot. Find the dimensions of the box such that the cost is at its minimum. Find the domain of the function, the critical points and include the second derivative test
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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An open–top box with a square base is to be constructed from two materials, one for the bottom and one for the sides. The volume of the box must be 18 cubic feet. The cost of the material for the bottom is 4 pesos per square foot, and the cost of the material for the sides is 3 pesos per square foot. Find the dimensions of the box such that the cost is at its minimum. Find the domain of the function, the critical points and include the second derivative test.
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