1-2 The graph of a function f is shown. Find an equation of the tangent plane to the surface z = f(x, y) at the specified point. 1. f(x, y) = 16 - x2 - y2 2. f(x, y) = y sin x ZA ZA (2, 2, 8) X XY (TT / 2, - 2, 4) z = 16 - x2 - y2 z = y sin x27. Find the linear approximation of the function _f(.x,.' _ x3 + 5'3 + :2 at (3. 2, 6) and use it to approximate the number x/(3-02)2 + (l.97)3 + (5.99)? 52. Suppose you need to know an equation of the tangent plane to a surface S at the point P(2, 1, 3). You don't have an equation for S but you know that the curves r.(r) = (2 + 3t,1 13,3 41+ t2) r3(u) = (1 +1.13, 2w3 - 1, 2L! + 1) both lie on S. Find an equation of the tangent plane at P