Let u(r, y) = r – kry? 73 – - (a) For which value(s) of k is u harmonic? (b) For a value of k you found in part (a), find a harmonic conjugate of u. (c) For the same value of k, find an analytic...

Extracted text: Let u(r, y) = r – kry? 73 – - (a) For which value(s) of k is u harmonic? (b) For a value of k you found in part (a), find a harmonic conjugate of u. (c) For the same value of k, find an analytic function f(2) whose real part is u. Write f(2) explicitly as a function of 2.