Engineering Calculus Notes 341

Engineering Calculus Notes 341 - 329 3.6 EXTREMA f(x y z =...

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3.6. EXTREMA 329 −→ f ( x,y,z ) = −→ ı −→ + −→ k and g ( x,y,z ) = x 2 + y 2 + z 2 , so −→ g ( x,y,z ) = 2 x −→ ı + 2 y −→ + 2 z −→ k . The Lagrange Multiplier equation −→ f ( −→ x 0 ) = λ −→ g ( −→ x 0 ) amounts to the three scalar equations 1 = 2 λx 1 = 2 λy 1 = 2 λz which constitute 3 equations in 4 unknowns; a fourth equation is the speciFcation that we are on L ( g, 4):
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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