Find the unit tangent vector \(T(t)\) at the point with the given value of the parameter \(t\). \(r(t) = \left\langle t^2 - 4t, 1 + 5t, \frac{1}{3}t^3 + \frac{1}{2}t^2 \right\rangle\), \(t = 5\) \(T(5) =\)
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Find the derivative of the position vector r(t) with respect to t to get the velocity vector v(t). Show more…
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