Residues and Poles; Polar Numbers; Demoivre's Theorem

Related BrainMass Solutions

• Complex Numbers

  442861 Complex Numbers in Polar Form; DeMoivre's Theorem Write the expression in the standard form a + b i (sqrt 2 + i)^4 Write the result in a + b i form First convert to rectangular form--- calculate the magnitude-- find reference angle--then

• Complex Numbers : Polar Form and DeMoivre's Theorem

  70522 Complex Numbers : Polar Form and DeMoivre's Theorem 6.

• DeMoivre's Theorem and Power of Complex Numbers

  46785 DeMoivre's Theorem and Power of Complex Numbers See the attached file for complete equations --- Use DeMoivre's Theorem to find the indicated power of the following complex numbers: 1.

• Solving Complex Variable Equations : DeMoivre's Theorem

  113314 Solving Complex Variable Equations : DeMoivre's Theorem Find the values of: i^(Sqrt(3)) The answer is: cos(pi*sqrt(3)[1/2+2k]) + i.sin(pi*sqrt(3)[1/2+2k]), for any integer k.

• Demoivre's Theorem for Finding Complex Roots Degrees

  In our case: (1.9) Therefore: and we have: (1.10) Thus: Demoivre's theorem for finding complex roots degrees are examined.

• Complex Numbers Operations and DeMoivre's Theorem

  70794 Complex Numbers Operations and DeMoivre's Theorem Apply DeMoivre's Theorem to solve the following: *any angles that are multiples of pi/6, pi/4, pi/3, pi/2 or pi must be converted back into regular complex form!

• DeMoivre's Theorem - Euler Form

  The following solution shows how to express complex numbers in Euler form and uses deMoivre's theorem to solve. The solution is enclosed within a .zip file which is attached.

• Residues and Closed Contours : Solve the Integral

  By residual Theorem, we have ...............................(1) Note: (1) are the only poles of .

• Residue calculus

  Since as , according to the residue theorem and let , we get Thus we get Therefore, This shows how to verify an integral formula using residues.