Question: A curve given parametrically by (x,y,z) = (3+t, 2-2t^2, 3-2t^3) . There is a unique point on the curve with the property that the tangent

A curve given parametrically by (x,y,z) = (3+t, 2-2t^2, 3-2t^3) . There is a unique point on the curve with the property that the tangent line at passes through the point (3, 4, -4). What are the coordinates of the point?

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