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

Question

Mathematics

Tilly

6 March, 15:59

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

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Answers (1)

Know the Answer?

Gwendolyn Day · Answer 1

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)