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MTH 1322 – Calculus II Homework 17 – Complex Numbers and Euler’s Formula 1. Write the complex number in the form a+ bi. (b) (2 + 5i)(4− 3i) (c) 3 + 5i 3− 2i 4. Use Euler’s formula to write the complex...

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MTH 1322 – Calculus II
Homework 17 – Complex Numbers and Euler’s Formula
1. Write the complex number in the form a+ bi.
(b) (2 + 5i)(4− 3i)
(c)
3 + 5i
3− 2i
4. Use Euler’s formula to write the complex number in the form a+ bi.
(c) eiπ/3
(e) e−iπ/2
(f) eln 2+iπ
5. Use Euler’s formula to write the complex number in the form a+ bi.
(b) (1− i)12
(c) (1−

3i)5
Answered Same Day Jun 30, 2021

Solution

Sayantan answered on Jul 01 2021
163 Votes
Question number 1:
.
c.
4.
c.
, as according to Euler’s formula we have
e.
as according to Euler’s formula we have
f.
5.
.
Given, to find the value of according to Euler formula
Let us conside
c. Given, to find the value of according to Euler formula
Let us consider...
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