Monday

March 30, 2015

March 30, 2015

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

Math/Calculus - Solve the initial-value problem. Am I using the wrong value for ...

Calculus - Second Order Differential Equations - Posted by COFFEE on Monday, ...

Precalculs - I have no idea how to do these type of problems. -------Problem...

Calculus - Second Order Differential Equations - Solve the initial-value problem...

Calculus AP - hi again im really need help TextBook: James Stewart:Essential ...

calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...

TRIG - what is the exact value of sin^2 pi/6-2 sin pi/6 cos pi/6 +cos^2 (-pi/6...

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

maths - Choose the option that gives the solution of the initial-value problem ...