5. Consider the curve defined by 2x + 3y - 4xy = 36. a. Show that dy _ Zy-2x 3y-2x. (3 pts) b. Find the slope of the line tangent to the curve at each point where x = 6. (2 pts) c. Find the positive value of x at which the curve has a vertical tangent line. (2 pts) d. Let x and y be functions of time t that are related by the equation 2x + 3y - 4xy = 36. At time t = 1, the value of x is 2, the value of y is - 2, and the value of at is 4. Find the value of ax at de at time t = 1. (3 pts)4 t (hours) 0 2 3 1 1. 5 11 F(t) (miles per hour) 6. Ms. Kerr and Ms. Fogler are riding their bikes for 4 hours along a flat, straight road. Ms. Fogler's velocity, in miles per hour, at time t hours is given by a differentiable function F for 0 S t