Find parametric equations for the tangent line to the curve with the given parametric…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=ln⁡(t+1),y=tcos⁡2t,z=2t;(0,0,1)x = \ln(t + 1), y = t \cos 2t, z = 2^t; (0, 0, 1)

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