An industrial tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The tank must have a volume of 4000 cubic feet. The material for the lateral surface costs $5 per square foot, and the material for the hemispherical
cylinder. The tank must have a volume of 4000 cubic feet. The material for the lateral
surface costs $5 per square foot, and the material for the hemispherical ends costs $10 per
square foot. Find the dimensions of the tank that will minimize cost.
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An industrial tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The tank must have a volume of 4000 cubic feet. The material for the lateral surface costs $5 per square foot, and the material for the hemispherical
Use methods of algebra and calculus to analyze the graph of the function.
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Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
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Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
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