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The tangent line to a smooth curve r(t) = f(t)i+g(t)j+h(t)k at t = to is the line that passes through the point (f(to) 9

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The tangent line to a smooth curve r(t) = f(t)i+g(t)j+h(t)k at t = to is the line that passes through the point (f(to) 9 (to) h (to)) parallel to v (to), the curve's velocity vector at to. Use r (to) and r' (to) to find parametric equations for the line that is tangent to the given curve at the given parameter value t=to r(t)=(6 cos t)i + (2 sint) j + (3e) k. to = 0 Find the standard parametrization for the tangent line. OA. x=6, y=t, z=3+9t OB. x=6, y = 2t-1, z=3 OC. x = 0, y = 2t-1, z=3 OD. x=0. v=t. z=3+91

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