a) Find the value(s) of (1+ i)2/3.b) Show that cos² z + sin? z = 1, for all z = x + iy, , y E R, V-I= i.c) Find a complex valued analytic function f(x, y) = u(x, y) + iv(x, y),whose real part u(x, y) = 213 – 3r?y – 6xy? + y°.

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Answered: a) Find the value(s) of (1+ i)2/3.

Math

Calculus

a) Find the value(s) of (1+ i)2/3.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Question

a) Find the value(s) of (1+ i)2/3.
b) Show that cos² z + sin? z = 1, for all z = x + iy, , y E R, V-I= i.
c) Find a complex valued analytic function f(x, y) = u(x, y) + iv(x, y),
whose real part u(x, y) = 213 – 3r?y – 6xy? + y°.

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