JRFPLSHelp

10 Questions
4 Answers

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I need some help understanding this

Could someone explain the steps to do these problems please? Thanks!
Let z be a complex number, and let n be a positive integer such that z^n=(z+1)^n=1
a) Prove that |z|=|z+1|=1.
b) Find the possible values read more ..

JRFPLSHelp Aug 24, 2024

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8

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+38

PLEASE HELP PLEASE

Find the exponential form of the complex number
e^17πi/60+e^27πi/60+e^37πi/60+e^47πi/60+e^57πi/60
with proof.
Could someone help me on this and type out the solving process and the proof please?
Thanks! read more ..

JRFPLSHelp Aug 13, 2024

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5

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I also need some help with this one-

Consider the complex numbers and in the complex plane below:
[asy]
size(250);
import TrigMacros;
real big = 5;<#> for (int i = 1; i < big+1; ++i)<#> {<#> draw(Circle((0,0),i), lightblue + linewidth(0.4));<#> read more ..

JRFPLSHelp Aug 13, 2024

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8

1

+38

I need help on this problem-

Consider the complex numbers v, w and z in the complex plane below:
[asy]
size(250);
import TrigMacros;
real big = 4;
for (int i = 1; i < big+1; ++i)<#> {<#> draw(Circle((0,0),i), lightblue + linewidth(0.4));<#> read more ..

JRFPLSHelp Aug 13, 2024

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6

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+38

HELP-This question is too confusing for me and my friends

Consider the complex numbers in the picture below:
[asy]
size(250);
import TrigMacros;
rr_cartesian_axes(-7,7,-7,7,complexplane=true, usegrid = false);
pair O, SS, T, V, U, WW;<#> O = (0,0);<#> WW = dir(65);<#> V read more ..

JRFPLSHelp Aug 10, 2024

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+38

PLS HELP

Let u and w be complex numbers such that
|u|=5, |w|=3, and |u+w|=6.
Calculate |u+2w| with proof.
Could someone explain to me the steps to do this? I dont really understand this subject.
Thanks read more ..

JRFPLSHelp Aug 10, 2024

0

5

3

+38

Complex numbers-I don't really understand it

Find the complex number z that satisfies:
(1+i)z-2z*=-11+25i
I beleive the i's in this problem are not variables and are the complex number representing the square root of negative one. The "z*" represents the variable "z" read more ..

JRFPLSHelp Aug 9, 2024

0

12

2

+38

Archimedean Spiral PLEASE HELP

Consider the graph of for given in radians, also known as the Archimedean spiral. Prove that the consecutive intersection points of this graph with any ray whose initial point is the origin are equidistant from each other. What is read more ..

JRFPLSHelp Aug 3, 2024

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6

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I have been trying to do my homework all day and i need help please and thank you

The position of a particle is given by the parametric equations
as t ranges over all real numbers.

x=3+2sin(2t)
y=4+2cos(2t)
The particle visits the points P, Q, R, S at times -pi/6, 0, pi/3, pi/2 in some order. Order read more ..

JRFPLSHelp Jul 26, 2024