Question: (a)For which value of the parameter c is the function u(x,y)=c*y 2 +4xy+3y+2x 2 +x a real part of an entire function? c= (b)For this

(a)For which value of the parameter c is the function u(x,y)=c*y2+4xy+3y+2x2+x a real part of an entire function? c=

(b)For this value of c find the harmonic conjugate v(x,y) of the function u satisfying the condition v(0,0) =0

(c)Write the formula for the holomorphic function f = u+iv as a function of z in the form f(z)=

Please answer the above three questions, many thanks for your help.

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