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{"ops":[{"insert":"MAXIMA, MINIMA, AND TIME RATES\n\nSolve the following problems completely.\n\u00a0\u00a01. Find the positive number such that this number plus 36 times its reciprocal is a minimum.\n\n\u00a0\u00a02. Find two numbers whose sum is 24 such that the sum of the square of one plus six times the other is a minimum.\n\n\u00a0\u00a03. Find the dimensions of the largest rectangle that can be enclosed with 240m of fence.\n\n\u00a0\u00a04. A small jewelry box with square of\u00a0base is to have a volume of 125 cu.cm. Find its dimensions to require the least amount of material.\n\n\u00a0\u00a05. A lot has the form of a right triangle, with perpendicular sides 60 and 80 feet long. Find the length and width of the largest rectangular building that can be erected, facing the hypotenuse of the triangle.\n\n"}]}
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