For each of the following functions locate singularities in the finite z-plane. (a) sin-(1/z) (b) Vz(z...

  

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For each of the following functions locate singularities in the finite z-plane. (a) sin-(1/z) (b) Vz(z² + 1) z+3 (c) (d) csc(1/z?) z2-1 z2 + 1 (e) z3/2 Verify that the Cauchy-Riemann equations are satisfied for the following functions: (a) ez? (b) cos(2z) (c) sinh(4z) For each of the following functions locate singularities in the finite z-plane. (a) sin-(1/z) (b) Vz(z² + 1) z+3 (c) (d) csc(1/z?) z2-1 z2 + 1 (e) z3/2 Verify that the Cauchy-Riemann equations are satisfied for the following functions: (a) ez? (b) cos(2z) (c) sinh(4z)