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Let v(t) = < 1/(t+1), 4t, 6 sin(3t) >. (a). Find an equation (vector or parametric) for the tangent line to this curve at t

Let v(t) =< 1/(t+1), 4t, 6 sin(3t) >.

(a). Find an equation (vector or parametric) for the tangent line to this curve at t = 1.

(b). Find an antiderivative r(t) to v(t) such that r(0) =< 0, 1, -3 >.

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