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 23+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 = Determine an expression for Or y(r, s) and z = z(r, s). 5. Suppose that f is a differentiable function of x and y and g(u, v) values to calculate gu (0, 0). = f(e" + sin(v), e" + cos(v)). Use the table of f 9 fx (0,0) 3 6 4 fr 8 (1,2) 6 3 2 5