(See Solution) Given a curve defined by the position vector x(t)=(sec t,e^t,t cos t) compute the equation of the tangent line at the point where t =


Question: Given a curve defined by the position vector

\[x\left( t \right)=(\sec t,{{e}^{t}},t\cos t)\]

compute the equation of the tangent line at the point where t = 0.

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