precal
posted by trellis .
a rectangular board is 2 by 12 units. How far from the short sides of the board will the foci be located to determine the largest elliptical tabletop?
a rectangular board is 2 by 12 units. How far from the short sides of the board will the foci be located to determine the largest elliptical tabletop
Clearly, the largest elliptical tabletop will have a semimajor axis a = 6 and a semiminor axis b =1.
The distance of the foci from the center of the ellipse derives from c = sqrt(a^2  b^2 = sqrt(36  1) = 5.916 making the distance of both foci from each end .0839 units.
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