find the shortest distance form the origin to the surface 3x^2+6y^2-4z^2 = 54
what I did is I found the distance d from some point on the surface (x,y,z) to the origin would be d = sqrt(x^2+y^2+z^2) and that this could be stated as a function of f(x,y,z) as:
f(x,y,z) = x^2+y^2+z^2 and I must find the min of this functoin subject ot the constraint 3x^2+6y^2-4z^2 = 54, but the method of Lagrange multipliers does not work here, why???
2007-11-30
11:56:12
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3 answers
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asked by
Anonymous