h: 4, 3:4, c=5 and a=5, b=5, c=6 1. (a) Let p and (1 respectively be the remainders when E) and c are divided by 2. Is the function u[:c,y) = 3(q + 1)m2y + (p + 1):;3 harmonic? (2 points) (b) If your answer to the last question was no, nd (with proof] new values of p and q such that Many) = 3(q + 1)x2y+ (p + 1)y3 is harmonic. However, if your answer was yes, nd a harmonic conjugate of u(:r,y). (2 points) (c) If f(z) and f(z) are both analytic, what is the value of f(b)f(c)'? (Hint: use the Cauchy-Riemann equations) (2 points]