1. The problem statement, all variables and given/known data Apply rules of Cauchy-riemann theory to verify that each of these functions is entire: f(z)=3*x+y+i(3y-x) 2. Relevant equations u_x=v_y, u_y=-v_x 3. The attempt at a solution u(x,y)=3x+y v(x,y)=3y-x u_x=3 v_y=3 u_y=1 -v_y=1 I know that a function is analytic at each point, then the function is entire. How would I show that the function is analytic at each pt.?