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What is the equation of the tangent line to the space curve defined by the position...

What is the equation of the tangent line to the space curve defined by the position vector:

R(t) = [ln(t2)]i + [t / (t+1)]j + e(t^2)k

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Answer #1

We have given the position vector in parametric equation. Now we first take the derivative with respect to t. Since no point is given we assume the point is t0 . Now we find the equation of the tangent to the given curve.

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