Question B3: Consider the ellipse with equation 9x2 + 4312 = 72. (a) Find an equation for the line tangent to the ellipse at (2, 3) (b) Find an equation for the line tangent to the ellipse at (g, #5). (c) At What point do these tangent lines intersect? Is the point inside or outside of the ellipse? Question B4: Suppose that f (x) is differentiable on [3, 7], that f (7) = 12, and that 2 g f'(x) g 4 for all x e (3, 7). Show that f(4) Z 0 and that f(3) g 4