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A diamond (see the figure below) is a quadrilateral with four sides of equal length. Its diagonals are perpendicular to each other. A certain diamond has a perimeter of k millimeter. Determine the length of the half-diagonals a and b such that its surface area is maximal. Hint: you may prefer to find a and b such that the square of the surface area is maximal. This is equivalent to the original question.

A diamond (see the figure below) is a quadrilateral with four sides of equal length. Its diagonals are perpendicular to each other. A certain diamond has a perimeter of k millimeter. Determine the length of the half-diagonals a and b such that its surface area is maximal. Hint: you may prefer to find a and b such that the square of the surface area is maximal. This is equivalent to the original question.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7. A diamond (see the figure below) is a quadrilateral with four sides of equal length. Its diagonals are perpendicular to each other. A certain diamond has a perimeter of k millimeter. Determine the length of the half-diagonals a and b such that its surface area is maximal. Hint: you may prefer to find a and b such that the square of the surface area is maximal. This is equivalent to the original question.
Transcribed Image Text:7. A diamond (see the figure below) is a quadrilateral with four sides of equal length. Its diagonals are perpendicular to each other. A certain diamond has a perimeter of k millimeter. Determine the length of the half-diagonals a and b such that its surface area is maximal. Hint: you may prefer to find a and b such that the square of the surface area is maximal. This is equivalent to the original question.
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