Cálculo - Thomas Capítulo 10

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Presentation transcript:

Cálculo - Thomas Capítulo 10 Chapter 10 cont. Finney Weir Giordano, Thomas’ Calculus, Tenth Edition © 2001. Addison Wesley Longman All rights reserved.

Figura 10.37.

Figura 10.38. r(t) = (sen3t)(cos t)i + (sen3t)(sent)j + tk r(t) = (cost)i + (sent)j + (sen2t)k r(t) = (4 + sen20t)(cos t)i + (4 + sen20t)(sent)j + (cos20t)k

Figura 10.39.

Figura 10.40. r(t) = (cos t)i + (sent)j + tk

Figura 10.41.

Figura 10.44.

Figura 10.46.

Figura 10.48.

Figura 10.51.

Figura 10.52. Círculo de curvatura Centro de curvatura Curva Raio de curvatura

Figura 10.53. Círculo osculador

Figura 10.54. A torção em P é – (dB/ds)•N. A curvatura em P é |(dT/ds)|. s aumenta

Figura 10.57. Plano retificador Plano normal Plano osculador Tangente unitária

Figura 10.58.

Figura 10.59.

Figura 10.60. Corda

Figura 10.61.

Figura 10.62.

Figura 10.63.

Figura 10.64.

Figura 10.65.

Figura 10.66. Sol Planeta

Planeta Sol Posição de periélio (ponto mais próximo do sol) Figura 10.67. Posição de periélio (ponto mais próximo do sol) Planeta Sol

Figura 10.68. Planeta Sol

Figura 10.70. Altura do perigeu Altura do apogeu Terra