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not sure if this answer is correct, please try,thank you. For the smooth curve r(t), find the parametric equations for the line that is tangent

not sure if this answer is correct, please try,thank you.

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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value t = to. r(t) = (5 tan t) i - (3 sin t) j + (4 cos 2 t) k ; to= 4 O x = 10 + 5ty= 31/2 31/2 2 2 t, z= -4 + 2t O x = 5 + 10t, y= 2 2 t, z = 2 + 4t O x = 5 + 10t, y = > 2 5t, z = 4 -4t O 31/2 31/2 x = 5 + 10t, y = 2 2 t, z = 2 - 4t

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