Problem 4. (. Let C be the curve given by parametric equations r(t) = 1², y(t) = 2t, z(t) = ln t, t€ (-∞0, +∞0). (a) Find the intersection points of the curve C with the plane z = e. (b) Find an equation of the tangent line to the curve C at the point (e², 2e, 1). (c) Find an equation of the tangent line to the curve C when t = 3.

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