Let C be the parametric curve defined by a: 2 2'3\"\

Let C be the parametric curve defined by t 3+3t a) Find the slope of the line tangent to the curve C att = O (5 points) b) Find the coordinates of point on C where the tangent line is horizontal. (4 points) e) The portion of the curve C when 0 < t < 2 is rotated about xaxis. Set up a definite integral that computes the surface area of the solid of revolution. Do not evaluate and do not simplify the integral. (4 points)