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(1 point) Consider the function 2' = f(sc,y) = 333 + 5my2. (a) Find f(4,1). Z : f(471) : (b) Find a function 9(33, y, 2) whose level zero set is equal to the graph of z : at, y) and such that the coefficient of z in 9(56, y, z) is 1. The level set 9(33, y, z) : = 0 is the same as the graph of z = f(:12,y). (c) Find the gradient of 9. Write your answer as a row vector of the general form (a, b, c). V960, :9, Z) = (0!) Use V9 to find a vector VL perpendicular (or normal) to the graph of z = f(m, y) at the point (4, 1, 84). Write your answer as a row vector of the general form (a, b, 0). 73: (e) Find an equation for the tangent plane to z : ne, 3;) at the point (4, 1, 84). Enter your answer as an equation