Friday

April 25, 2014

April 25, 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

**Related Questions**

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

calculus - Write the complex number in exponential form. i i is the complex ...

CALCULUS - Could someone please solve these four problems with explanations? I'd...

Calculus - Why can't a equal 1 in y=log(base a) x. And why is x always positive ...

MATH - cos(x)=2 and sin(x)=5 Thanks for your previous answers mathmate. No. It's...

Calculus - f(x) = 6(cos(x))^2 - 12sin(x) 0 ¡Ü x ¡Ü 2(PI) I have to find where ...

calculus - can you please explain tep by step how to solve dividing complex ...

Pre-Calc - Could someone show me how to solve these two problems-I have 10 of ...

calculus - pleaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaasw help can you pleaaaaase ...

Statistics - What key problems can a supermarket address and solve utilizing the...