7. Let f(z) be the principal branch of z-i. (a) Write f(z) explicitly and calculate f(i). (b) For Z₁, Z2 #0, show that f(Z1)f(Z2) f(Z122) = 1, е-2, or e²π You may use the following fact without proof: Arg(21) + Arg(22) - Arg(2122) = {0,2π, -2π}.
7. Let f(z) be the principal branch of z-i. (a) Write f(z) explicitly and calculate f(i). (b) For Z₁, Z2 #0, show that f(Z1)f(Z2) f(Z122) = 1, е-2, or e²π You may use the following fact without proof: Arg(21) + Arg(22) - Arg(2122) = {0,2π, -2π}.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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