Please help my year 2 Calculus Q1

1. (4 points) Let f: R" -> R' and g: R -> R be class C' functions satisfying f (1, 2) = (3, 4, 5) g(3, 4, 5) = 6 0 JS(1, 2) = 0 2 Jg(3, 4, 5) = (4 3 1) Let h: R' -> R be h(x, y) = 9(f(x,y)). (a) Consider the surface S = {(x, y, 2): = = h(x, y)} in R3. Find an equation of the tangent plane to the surface S at (1, 2,6), and find a normal vector to S at (1, 2, 6). (b) Consider the curve C = {(x, y): h(x, y) =6} in R'. Find an equation of the tangent line to the curve C at (1, 2), and find a normal vector to Cat (1, 2)