- #1
Eric Worceste
- 1
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I'm trying to find the regular parallelepiped with sides parallel to the coordinate axis inscribed in the ellipsoid x[2]/a[2] + y[2]/b[2] + z[2]/c[2] = 1 that has the largest volume. I've been trying the Lagrangian method: minimize f = (x)(y)(z), subject to the constraint (x[2]/a[2] + y[2]/b[2] + z[2]/c[2] - 1 = 0.
My new function F = (x)(y)(z) + L(x[2]/a[2] + y[2]/b[2] + z[2]/c[2] - 1) however leads to zeroes after differentiation and the linear system is solved. I'm stuck . . .
My new function F = (x)(y)(z) + L(x[2]/a[2] + y[2]/b[2] + z[2]/c[2] - 1) however leads to zeroes after differentiation and the linear system is solved. I'm stuck . . .