Question

There exists an analytic function where real part is 3x+sinx+y^2+5y+4 true or false?

Answer 1

Answer:

true

Step-by-step explanation:

There is a short cut method: Replace x by z=x+iy and y by 0 in u(x, y) and add a purely imaginary constant.The resulting function is the analytic function for which u(x, y) is the real part. Thus f(z) =u(z, 0)++iC