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Let f(x, y) = e-(a-z)+b(y+1)" + 10y, where a and b are the last non-zero digits in your student number. Write down the function f for your values of a and b and work with this function further on in this question. of of (a) Calculate Or and ay Show all the working. (b) Let g(x) = f(x, 1). That means g(I) is given by function f(I, y), when y = 1. () Write down g(). (ii) Using your answer from (a) find stationary point(s) for the function g. (iii) Determine the nature of the stationary point(s) from (ii). (c) Without doing any more direct calculations, explain if the location of the stationary point(s) of f (I, yo) depends on the value of yo. Here yo is some fixed number (not necessarily 1)