Replace beta with a '2'

8. Replace B in this question with the second to last digit of your student number. Consider the function f (x, y) = 202 + zy3. (a) Suppose that x =(B+2)s-t2 and y = s= + 2t. Use the chain rule for a function of several variables to calculate and (b) Find the equation of the tangent plane to the surface z = f(x, y) at the point with co-ordinates (2, - 1, 2) . [4+ 2 = 6 marks]