Curves f and g are given by the equations below as shown in the figure to the right. Curve f: x2-9In(2y -1) + y2 -5 Curve f Curve g: x2+ex? -1 -y= 4 a. For curve f, show that" dy 2xy -x "dx 9-2y2 +y b. Show that horizontal tangents to curve f must occur along the y-axis. c. For curve g, find dy dx d. Show that the line tangent to f is the same as the line normal to curve g at (2, 1)