Friday

December 19, 2014

December 19, 2014

Posted by **Lisa** on Tuesday, January 15, 2013 at 2:08pm.

1)e^(i*pi) + 2e^(i*pi/4)=?

2)3+3=3i*sqrt(3)=xe^(i*pi/3)

MY attempt:

I'm not really sure of what they are asking.

For the 1st one I used the e^ix=cos(x)+i*sin(x)

and got -1+sqrt(2) +sqrt(2)i

2) I solved for x and fot (3+3i*sqrt(3))/(1/2+i*sqrt(3)/2)

- Calculus -
**Steve**, Tuesday, January 15, 2013 at 2:21pmyour 1st answer is correct

#2.

x(1/2 + √3/2 i) = 3+3i√3

x = (3+3√3 i))/[1/2 (1+√3 i)]

now rationalize by multiplying by conjugate

x = 3(1+√3 i)* 2(1-√3 i)/(1-3)

x = -3(1+√3 i))(1-√3 i)

x = -3(1-3)

x = 6

**Answer this Question**

**Related Questions**

calculus - Write the complex number -4 x 3^1/3 - 4i in exponential form. I'm not...

Math - Complex Numbers - Could someone show me how to get the work for: 3/4 (...

Math Help please!! - Could someone show me how to solve these problems step by ...

some algebra help (radicals) - I hope I am writing this down right.. I am trying...

Calculus - Please look at my work below: Solve the initial-value problem. y'' + ...

CALC - 1. The problem statement, all variables and given/known data cos(x) = -2 ...

Calc - 1. The problem statement, all variables and given/known data cos(x) = -2 ...

Complex Numbers - The system of equations |z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i...

Calculus - Evaluate the integral by changing to spherical coordinates. The outer...

Calculus - Evaluate the integral by changing to spherical coordinates. The outer...