03 Argand Diagrams

# 03 Argand Diagrams - 3. 1. ARGANDDIAGRAMS

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3. ARGAND DIAGRAMS 1. Draw separate sketches of the following sets of points in the complex plane. (a) [3 marks] { } z z z - 1 :   (b)    [2 marks]    { } 4 : = z z z   (c)   (3 marks]    2 ) arg( 4 : π iz z VET Calculus 12 3. Argand Diagrams

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VET Calculus 13 3. Argand Diagrams
i 2. (a) [3 marks]Draw a sketch of the region in the complex plane specified by   ( 29 2 2 2 2 2 - - i z . Hence or otherwise find, on that region, (b)[3 marks] the maximum and minimum values of | z |. ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ (c) [4 marks] the maximum and minimum values of arg  z ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ VET Calculus 14 3. Argand Diagrams

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________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ VET Calculus 15 3. Argand Diagrams
i 3 -3 3 -3 i 3 -3 -3 i 3 -3 3 -3 3. Determine the sets corresponding to the following shaded regions of the Argand plane. (a)   [3 marks] (b)   [2 marks] (c)   [4 marks] VET Calculus 16 3. Argand Diagrams

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VET Calculus 17 3. Argand Diagrams
i i i 4.

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## This note was uploaded on 09/01/2010 for the course MATH MAT1300 taught by Professor Mcdonald during the Spring '10 term at Acadia.

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03 Argand Diagrams - 3. 1. ARGANDDIAGRAMS

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