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KOMPLEKSNA ANALIZA 1.zadaca

KOMPLEKSNA ANALIZA 1.zadaca

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Student: Ana Baraba1. Odredite sve z ∈ C za koje vrijedi<strong>KOMPLEKSNA</strong> <strong>ANALIZA</strong>1.zadaćaarg(z 6 ) = arg(−z 2 ) i Re(z 3 ) = 4 √ 2.2. Skicirajte u Gaussovoj ravnini skup točaka za koje vrijediIm(z 2 ) ≤ 4,π3 < arg(z) < 2π 3 .3. Odredite sve z ∈ C za koje vrijedicos z = 2i sin z.4. Oredite analitičku funkciju f = u + iv ako jeu(x, y) = e x (x cos y − y sin y), f(0) = 0.

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