Show all your work. Clearly indicate the methods used as you will be graded on the correctness of your method as well as your accuracy of your final answer. Each question is worth 10 points. Please keep your work as neat as possible, so I may easily grade and return the problem set quickly. 1. The line x=c where c> 0 intersects the cubic y = 2x3 + 3x -9 at a point P and the parabola y = 4x +4x+5 at point Q. (a) If a line tangent to the cubic at point P is parallel to the line tangent to the parabola at point O. find the value of c where c>0.