In: Math
(a). Let S be the surface defined by x^4 − 3x^2y^2 + 4z^2 = 17. Find the equation of the tangent plane to the surface S at (1, 0, 2).
(b)
Let f(x,y) = e^2xy
. Let P = (2,0) and Q = (3,2). Find the directional derivative of f at P in the
direction of PQ.