fernandobarajas284 fernandobarajas284
  • 04-05-2020
  • Mathematics
contestada

Consider the parametric curve:

x = 3 tant

y = 4 sect

find d y / d x at t = π.

Respuesta :

LammettHash
LammettHash LammettHash
  • 06-05-2020

By the chain rule,

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}=\dfrac{4\sec t\tan t}{3\sec^2t}=\dfrac43\sin t[/tex]

When [tex]t=\pi[/tex], we have

[tex]\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{t=\pi}=\dfrac43\sin\pi=0[/tex]

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