Proulun I (Complex square roots) Let g: {weC: - < arg(w) } be a branch...

  

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Proulun I (Complex square roots) Let g: {weC: -< arg(w) ≤ } be a branch of √w and for uo> 0 fixed consider V = {uo +iv € C: VER}. (a) Draw g(V). (b) Express x = Re(g) as a function of y = Im(g) on Og(V). (c) Identify ag(V) as a well-known curve. (e) Describe Og(V) as a function of up. Proulun I (Complex square roots) Let g: {weC: -< arg(w) ≤ } be a branch of √w and for uo> 0 fixed consider V = {uo +iv € C: VER}. (a) Draw g(V). (b) Express x = Re(g) as a function of y = Im(g) on Og(V). (c) Identify ag(V) as a well-known curve. (e) Describe Og(V) as a function of up.