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shutvik
2 months ago
12

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

Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
7 0
Let’s consider the curve: r(t) = t²i +(int)j + 1/t k X = t², y = int,z = 1/t Utilizing x = t² and z = 1/t X = (1/z)² Xz² = 1 Now using y = int and z= 1/t Y = in│1/z│ By using x = t² and y = int Y = int = in(√x) Thus, the resulting surfaces are, Xz² = 1 Y = in│1/z│ Y= in(√x)
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