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

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = e^{-t} \cos t, y = e^{-t} \sin t, z = e^{-t}; (1, 0, 1)