Determine if f is holomorphic and then calculate f'(z) (a) f(z) = Re(z), (b) f(2) =...

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Determine if f is holomorphic and then calculate f'(z) (a) f(z) = Re(z), (b) f(2) = |z|, (c) f(2) = |2|², (d) f(2)= 2+1 1+ |2|² Locate and classify the singularities for the following functions: 1 sin (¹) zo sin (²) 1+z4 (i) (ii) (iii) 7 z²+z+1 23 2³ - 11z + 13 Determine if f is holomorphic and then calculate f'(z) (a) f(z) = Re(z), (b) f(2) = |z|, (c) f(2) = |2|², (d) f(2)= 2+1 1+ |2|² Locate and classify the singularities for the following functions: 1 sin (¹) zo sin (²) 1+z4 (i) (ii) (iii) 7 z²+z+1 23 2³ - 11z + 13