Complex

Hello i'm getting ambiguity with the expression 1^i. 1 can be written as e^0 or e^(2pi*i) this leads to confusion because solving (e^0)^i, I obtain 1 and I simplify e^(2pi*i)^i and obtain e^(-2pi)... more

Show that   f(z)=[sin(PI/z)]/(z+2)  is nowhere analytic for |z|<a , where a is a some positive number.   Can you help me to solve this problem?

Create a formula then find the temp of the pie after 120 minuites 

Hi, I help solving this with steps :    (4/x) + (4/y) / (16/x^2y^2) 

 Given that f(x)  is a cubic function with zeros at −6  and −2i+4  , find an equation for f(x) given that f(−7)=−6.    I keep getting (x^3+6x^2+8x+48)/(9.5) but it is wrong.   Thanks in advance! 

I am doing complex analysis. I am stuck on integrating sin^2(4x), from 0 to 2pi. I have to show the integration in exponential form.

Write the following in the polar form reiθ, -pie<0≤piea)πi r=θ=b)-2√2- 5ir=θ=c) (1-i)(-√(3)+i))r=θ=d)(√(2)-5i))2r=θ=e)(-5+√(2i))/(5+3i)r=θ=f) -√7(1+i)/ √(3) +ir=θ=

The Number System is built in stages to facilitate the four basic operations. It is extended to complex numbers to facilitate the computation of square roots of negative real numbers. All you need... more

This is for my math analysis class, and I can't quite figure out how to do it!