2002-32.md

course	course_year	question_number	tags	title	year
Methods	IB	32	IB 2002 Methods	4.I.2A	2002

Use the method of Lagrange multipliers to find the largest volume of a rectangular parallelepiped that can be inscribed in the ellipsoid

$$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1 .$$