Can you please solve these step by step

5. For the parametric curve C given by x(t) = 3 - 12t + 1 and y(t) = 2t2 + 5 for any value of t, answer the following(s): (a) Find the equation of the tangent line to the curve C at t = 1. (b) Find all the point(s) (x, y) on the curve, where the tangent line is horizontal. (c) Find all the point(s) (x, y) on the curve, where the tangent line is vertical