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The complex number z is defined by z = 3 .z + 4.j where z is real. a) Find, in terms of æ, the real and imaginary parts of: i) Re (22) (²) 固助, Im (z %3D (3+2=) - ii) Re (z +2•z b) What value of z will result in z+2-z in being real. z = Number c) For the complex number Find: w = 7 +6 · j i) arg(w) = Number ii) lael = Number

The complex number z is defined by z = 3 .z + 4.j where z is real. a) Find, in terms of æ, the real and imaginary parts of: i) Re (22) (²) 固助, Im (z %3D (3+2=) - ii) Re (z +2•z b) What value of z will result in z+2-z in being real. z = Number c) For the complex number Find: w = 7 +6 · j i) arg(w) = Number ii) lael = Number

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real and imaginary parts of. i) Re (2) = (-?) - (3+2=) – 固回, ii) Re Im +2-z b) What value of z will result in z+2-z in being real. Number c) For the complex number Find: w = 7 +6 · j i) arg(w) = Number %3! ii) Jw = Number
Transcribed Image Text:The complex number z is defined by z = 3·z + 4.j where z is real. a) Find, in terms of z, the real and imaginary parts of. i) Re (2) = (-?) - (3+2=) – 固回, ii) Re Im +2-z b) What value of z will result in z+2-z in being real. Number c) For the complex number Find: w = 7 +6 · j i) arg(w) = Number %3! ii) Jw = Number
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