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(a) Use Euler's formula to show that every complex num- ber can be written in the form re", where r 2 O and -A <0 S1. (b) Express the numbers 4, -2, 3i, 1 +i, and -1+iv3 in the form re'". (c) The two square roots of reie are +Fei0/2. Find the square roots of the num- bers 2– 2i v3 and –2 + 2i /3.

(a) Use Euler's formula to show that every complex num- ber can be written in the form re", where r 2 O and -A <0 S1. (b) Express the numbers 4, -2, 3i, 1 +i, and -1+iv3 in the form re'". (c) The two square roots of reie are +Fei0/2. Find the square roots of the num- bers 2– 2i v3 and –2 + 2i /3.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Use Euler's formula to show that every complex num- ber can be written in the form re", where r 2 O and -A <0 S1. (b) Express the numbers 4, -2, 3i, 1 +i, and -1+iv3 in the form re'". (c) The two square roots of reie are +Fei0/2. Find the square roots of the num- bers 2– 2i v3 and –2 + 2i /3.
Transcribed Image Text:(a) Use Euler's formula to show that every complex num- ber can be written in the form re", where r 2 O and -A <0 S1. (b) Express the numbers 4, -2, 3i, 1 +i, and -1+iv3 in the form re'". (c) The two square roots of reie are +Fei0/2. Find the square roots of the num- bers 2– 2i v3 and –2 + 2i /3.
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