Answer the following questions. 1. Determine a normal vector to the surface described by 25 +23+x+e" = 5 at the point (2, 0, 1). 2. Determine the equation of the tangent plane to the surface z3+x + yz = 3 at the point (1, 1, 1). 1 3. Approximate. using differentials. 2.992 2.013 4. Suppose u = f(w, x, y, z) is a differentiable function, with w = w(r,s), x = x(r, s), y = y(r, s) and z = z(r, s). Determine an expression for Or 5. Suppose that f is a differentiable function of x and y and g(u, v) = f(e+sin(v), e" + cos(v)). Use the table of values to calculate gu (0,0). f 9 fx fy (0,0) 3 6 4 8 (1,2) 6 3 2 5