9. Determine whether the quadratic form 10. 11. 12. degenerate or not. q(X1,X2) = 7X1 + 88XX2 +88 X is Let op: be a continuous function and suppose {z:|z|1} Q. Prove that the function defined as (=)= [ 9(w) dw is an analytic function on the open unit disc. W-Z |w=1 Let f : be an entire function and that |' (=)| < |(=)| for all ==. Identify all such functions. (a) (b) Let f be an analytic function and g: a harmonic function. Prove that gof is a harmonic function. Prove that the function u(x, y)=e.cos(x-y), (x, y) 2 is harmonic, and find the harmonic conjugate.