I 6 1 Find and plot logz for the following complex numbers z Specify the...

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I 6 1 Find and plot logz for the following complex numbers z Specify the principal value a 2 b i c 1 i d 1 i 3 2 Solution Suppose that n 0 11 12 log 2 log 2 i Arg 2 2nni log 2 12mn b Suppose that n 0 11 12 log 1 i log i log i i Argi 2nni in 2 12nn c Suppose that n 0 11 12 log 1 i i Arg 1 i 2nni log 2 in 4 i2 n log 2 2 in 4 12 n d Suppose that n 0 1 2 log i 1 i 3 log 1 i i Arg i 11 2ani

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I 6 1 Find and plot logz for the following complex numbers z Specify the principal value a 2 b i c 1 i d 1 i 3 2 Solution Suppose that n 0 11 12 log 2 log 2 i Arg 2 2nni log 2 12mn b Suppose that n 0 11 12 log 1 i log i log i i Argi 2nni in 2 12nn c Suppose that n 0 11 12 log 1 i i Arg 1 i 2nni log 2 in 4 i2 n log 2 2 in 4 12 n d Suppose that n 0 1 2 log i 1 i 3 log 1 i i Arg i 11 2ani

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