3. (a) If Arg(2)=0, determine the Arg(z). (b) If Arg(z)=0, determine the Arg(z-1), z + 0....
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3. (a) If Arg(2)=0, determine the Arg(z). (b) If Arg(z)=0, determine the Arg(z-1), z + 0. (c) How are the complex numbers z1 and z2 related if arg(21) = arg(z2)? Suggestion: Check the meaning/sense of equality here. (d) How are the arguments arg(21) and arg(z2) related if z1 = z2? (e) Find two complex numbers z1 and z2 so that Arg(212) # Arg(z1) + Arg(z2). (f) Find two complex numbers z1 and z2 so that Arg(212) = Arg(21) + Arg(22). (g) When does Arg(21 22) Arg(21)+ Arg(z2)? 3. (a) If Arg(2)=0, determine the Arg(z). (b) If Arg(z)=0, determine the Arg(z-1), z + 0. (c) How are the complex numbers z1 and z2 related if arg(21) = arg(z2)? Suggestion: Check the meaning/sense of equality here. (d) How are the arguments arg(21) and arg(z2) related if z1 = z2? (e) Find two complex numbers z1 and z2 so that Arg(212) # Arg(z1) + Arg(z2). (f) Find two complex numbers z1 and z2 so that Arg(212) = Arg(21) + Arg(22). (g) When does Arg(21 22) Arg(21)+ Arg(z2)?
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Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
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