The solutions (x,y) of the equation x2 + 16y2 = 16 form an ellipse as pictured below. Consider the point P as pictured, with x-coordinate 1. (a) Let h be a small non-zero number and form the point Q with x-coordinate 1 +h, as pictured. The slope of the secant line through PQ, denoted s(h), is given by the formula |2x X (b) Rationalize the numerator of your formula in (a) to rewrite the expression so that it looks like f(h)/g(h), subject to these two conditions: (1) the numerator f(h) defines a line of slope -1, (2) the function f(h)/g(h) is defined for h=0. When you do this f ( h ) = g(h)= (c) The slope of the tangent line to the ellipse at the point P is lim s (h)_ h-+0