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Mathematics 7 Online
OpenStudy (s3a):

(Lagrange Multiplier method and partial differentiation). Find the maximum value of a rectangular box that can be inscribed in an ellipsoid x^2 /4 + y^2 /64 + z^2 /81 = 1 with sides parallel to the coordinate to the coordinate axes. My work: http://f.imgtmp.com/LNWh5.jpg I feel like I should have the correct answer but I did something wrong and I would appreciate it if someone could point out my mistake as well as tell me why it's wrong.

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