luisspy7148 luisspy7148
  • 04-09-2018
  • Mathematics
contestada

Find three different surfaces that contain the curve r(t) = t^2 i + lnt j + (1/t)k

Respuesta :

nuuk nuuk
  • 14-09-2018

solution:

Consider the curve: r(t) = t²i +(int)j + 1/t k

X= t² , y = int ,z = 1/t

Using, x = t², z = 1/t

                    X = (1/z)²

Xz²= 1

Using y = int, z= 1/t

Y = in│1/z│

Using x = t², y = int

Y = int

= in(√x)

Hence , the required surface are,

Xz² = 1

Y = in│1/z│

Y= in(√x)


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