For each of the following functions of z= x + iy, w = f(z) = u + iv:1a)Do b)i) Find u and v as functions of x and y, and identify where this mapping is conformal.ii) Fill in the following chart mapping (x, y) points to the (u, v) plane:TZ/2labelABCDEFGUse a graphing calculator like Desmosсb) w = 2 +(x, y) (u, v)(1,0)(0,1)(-1,0)(0,0)(1,1)(0, ∞)(∞0, 0)iii) Plot points from the table in both the (x, y) and (u, v) planes.iv) In the (x, y) plane draw the curves/points corresponding toa) u = 0; b) u = = 1;zc) V =0;(https://www.desmos.com/calculator) if necessary.d) v = 1

i) Find u and v as functions of x and y, and identify where this mapping is conformal. ii) Fill in the following chart mapping (x, y) points to the (u, v) plane: (x, y) (u,v) (1,0) (0, 1) label A B C D (-1,0) (0,0) (1,1) (0, ∞) (∞0,0) iii) Plot points from the table in both the (x, y) and (u, v) planes. E F G

i) Find u and v as functions of x and y, and identify where this mapping is conformal. ii) Fill in the following chart mapping (x, y) points to the (u, v) plane: (x, y) (u,v) (1,0) (0, 1) label A B C D (-1,0) (0,0) (1,1) (0, ∞) (∞0,0) iii) Plot points from the table in both the (x, y) and (u, v) planes. E F G

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 20E

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