2013-2014 Kuis 1 Pengantar Analisis Kompleks.pdf

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MA3131 - Pengantar Analisis Kompleks Kuis 1 Semester I 2013/2014 Nama Dosen: Janny Lindiarni dan Jalina Widjaja Durasi: 60 menit 1. Sketsalah daerah |2z + 1 − i| < 4. 2. Tentukan z ∈ C yang memenuhi z 4 = 2 − 2i. z2 . z→∞ (3z + i)3

3. Hitunglah lim

4. Sketsalah peta dari daerah |z| ≤ 2 di bawah pemetaan f (z) = 3z − 4 + 7i. 5. Misalkan f (x + iy) = 4e−x e−iy . (a) Tunjukkan f mempunyai turunan di z ∈ C. π

(b) Tentukan f 0 (2e 4 ).

1

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