Q2 (19 points) Let Cbe the parametric curve defined by x = t- - 2t, y = t - 4t', tER and depicted below a) Find all the coordinates of point(s), if any, for which C has a vertical tangent line. Show your work (3 points) b) Find all the coordinates of point(s), if any, for which C' has a horizontal tangent line. Show your work (6 points) c) Evaluate dr? | , the second derivative at t = 0. (3.5 points) d) Set up the definite integral that calculates the area of the region R that lies to the left of the y-axis and enclosed by the curve C. Do not evaluate the definite integral. (3.5 points) d) The portion of the parametric curve that lies to the left of the y-axis is rotated about y-axis to generate a surface area of a solid of revolution. Set up the definite integral that calculates the surface area of the solid of revolution. Do not evaluate the definite integral. (3 points)