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2 years ago

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

Mathematics

1 answer:

Viefleur [7K]2 years ago

7 0

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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2 years ago

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The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.

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