5. A wire of given length L may be cut into pieces to form a square and an equilateral triangle. How should it be cut if the sum of the areas of the square and the equilateral triangle is to be a minimum? A maximum? (10 分)

12. Find the least squares line for the given data. (10 分)(3,2), (4,3), (5,2). Method of Least Squares: The straight liney = a + bxshould be fitted through the given points (x₁,y₁), ..., (xₙ,yₙ) so that the sum of the squares of the distances of those points from the straight line is minimum, where the distance is measured in the vertical direction (the y-direction).

5. A wire of given length L may be cut into pieces to form a square and an equilateral triangle. How should it be cut if the sum of the areas of the square and the equilateral triangle is to be a minimum? A maximum? (10 分)

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