Answer to Question #341673 in Calculus for Mr. SeekingAnswers

Question

MAXIMA, MINIMA, AND TIME RATES

Solve the following problems completely.

  1. Find the positive number such that this number plus 36 times its reciprocal is a minimum.

  2. Find two numbers whose sum is 24 such that the sum of the square of one plus six times the other is a minimum.

  3. Find the dimensions of the largest rectangle that can be enclosed with 240m of fence.

  4. A small jewelry box with square of base is to have a volume of 125 cu.cm. Find its dimensions to require the least amount of material.

  5. 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.

Answer 1

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