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Unformatted text preview: material. 6 A swimmer is 100 meters from a straight shore. A lifeguard is 300 meters from the point on the shore closest to the swimmer. If he/she can swim at 3 m/sec and run at 5 m/sec, what path will get him/her to the swimmer as fast as possible? 7 A cylindrical tube is to be constructed of heavy cardboard with plastic ends having a volume of 48 π cubic feet. What radius will minimize the cost of the tube if cardboard is $1 per square foot and plastic is $3 per square foot? 8 A cylinder is inscribed in a sphere of radius 4 inches. Find the height of the cylinder of maximum volume that can be formed this way. 9 A court is to be built as a rectangle with a semicircle at each end. If the perimeter is to be 1200 feet, what dimensions will maximize the enclosed area? 10...
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 Fall '08
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 Calculus, Imperial units, United States customary units, cubic feet

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