Replace beta with 0301202

2. Replace B in this question with the second to last digit of your student number. Consider the surface, S, in R3, given by the equation 2 - y B+2 + x y . (a) Show that the point with co-ordinates (-1, 1, 0) lies on the surface S. (b) Is the tangent plane to the surface S at the point with co-ordinates (-1, 1, 0) horizontal (i.e. parallel to the xy-plane)? (Give a reason for your answer. ) [2 marks]