Capítulo 11Cálculo - Thomas Slide 1 Chapter 11 con. Finney Weir Giordano, Thomas Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved.

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Presentation transcript:

Capítulo 11Cálculo - Thomas Slide 1 Chapter 11 con. Finney Weir Giordano, Thomas Calculus, Tenth Edition © Addison Wesley Longman All rights reserved. Cálculo - Thomas Capítulo 11

Capítulo 11Cálculo - Thomas Slide 2 Figura

Capítulo 11Cálculo - Thomas Slide 3 Figura Plano tangente em P 0 Superfície de nível f(x,y,z) = c

Capítulo 11Cálculo - Thomas Slide 4 Figura A superfície Reta normal Plano tangente

Capítulo 11Cálculo - Thomas Slide 5 Figura Máximo local (não existe um valor de f maior próximo) Mínimo local (não existe um valor de f menor próximo) Superfície z = f(x, y)

Capítulo 11Cálculo - Thomas Slide 6 Figura

Capítulo 11Cálculo - Thomas Slide 7 Figura

Capítulo 11Cálculo - Thomas Slide 8 Figura Máximo livre x + 3y – 10 = 0 restrição em x e y Máximo condicionado

Capítulo 11Cálculo - Thomas Slide 9 Figura O cilindro hiperbólico x 2 – z 2 = 1 Nesta parte,

Capítulo 11Cálculo - Thomas Slide 10 Figura

Capítulo 11Cálculo - Thomas Slide 11 Figura

Capítulo 11Cálculo - Thomas Slide 12 Figura

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