2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1; (b) f(z) = == (z =0). Suggestion: In part (b), start by multiplying the numerator and denominator by z. Ans. (a) f(z) = (x³ - 3xy² + x + 1) +i (3x²y - y³ + y); x3 - 3ху2 y³ - 3x²y x² + y² x² + y² (b) f(z) = +i Z

2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1; (b) f(z) = == (z =0). Suggestion: In part (b), start by multiplying the numerator and denominator by z. Ans. (a) f(z) = (x³ - 3xy² + x + 1) +i (3x²y - y³ + y); x3 - 3ху2 y³ - 3x²y x² + y² x² + y² (b) f(z) = +i Z

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 7E

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