Answer: Maximum Volume Use Lagrange multipliers to find the dimensions of a rectangular
Chapter 13, Problem 39(choose chapter or problem)
Use Lagrange multipliers to find the dimensions of a rectangular box of maximum volume that can be inscribed (with edges parallel to the coordinate axes) in the ellipsoid
\(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1\) .
Text Transcription:
x^2 / a^2 + y^2 / b^2 + z^2 / c^2 = 1
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