Questions asked by Vardan M.

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• How to solve the equation #z^4=ibarz# ? Where z is a complex number.
  
• How to solve this equation for z, where z is a complex number: #(|z|)^(2)-2(z^(2))=2-i#?
  
• How to find Re: z, when #z=i^(i+1)# ?
  
• How to find the Im: z, when #z=((1+i)/(1-i*sqrt(3)))^(-2i)#?
  
• How to find Re: z, when #z=i^(i+1)# ?
  
• How to find the Im: z, when #z=((1+i)/(1-i*sqrt(3)))^(-2i)#?
  
• How to solve this equation #e^(6z)+(1-i)e^(3z)-i=0#, for z where z is a complex number?
  
• How to rebuild the analytical function f(z) if given #U(x,y)=Re f(z)=2x+(x/(x^(2)+y^(2)))# #0<|z|<+oo#?
  
• How to solve this equation where z is a complex number #(2z+2i)^4=z^4#?
  
• How to solve this integral #int_(-oo)^(+oo)(x)/((x^2+4x+13)^2)dx#?
  
• How to find the Taylor series for the function #1/(1+z+z^(2))# about the point z=0 ?
  
• How to find the Taylor series for the function #cosh(z)*cos(z)# about the point 0 ?
  
• How to find the sum of the series #sum_"n=0"^oo(z^(4n)/((4n)!))# when |z| < 1 ?
  
• How to solve the integral using the residue theorem #int_(|z|=2)z*cos(z/(z+1))dz# ?
  
• How to solve the integral using the residue theorem #int_(|z|=2)z^10/(z^11+1)dz# ?
  
• How to solve the integral using the residue theorem #int_(-oo)^(+oo)(cos(x)/(x^4+x^2+1))dx#?
  
• How to divide the following set into 2 subsets with equal sum, and 500 numbers in each #1^2,2^2,3^2,4^2,...,1000^2# ?
  
• How to divide #1^2, 2^2, ..., 64^2# set into 4 subsets with equal sum and 16 numbers in each?
  
• How to divide #1^2, 2^2, ..., 81^2# set into 3 subsets with equal sum and 27 numbers in each?