Lagrange Multiplier

From some time I am trying to solve this problem by using Lagrange multipler but not getting any result.

Find the maximum and minimum value of

$u$ = $\frac{x^2}{a^4}$ + $\frac{y^2}{b^4}$ + $\frac{z^2}{c^4}$ , where

$lx$ + $my$ + $nz$ = 0 and

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

This problem came in my Institute Exam. Kindly help me.

#Calculus

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Comments

@Chris Lewis

Jason Gomez - 3 months, 1 week ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$