Complex Variables

Please help me to solve parts (a), (b), and (c) of this problem. To solve it, example 2 of section 18 is needed as a guide to show the correct method. I have included the question, and the two pages on which example 2 is show. Page 56 continues the explanation of example 2. Please include an explanation along with the soluti ...continues

Series : Domain of Convergence

Find the domain of convergence of each of the following: a) Summation from n = 1 to infinity of [(z-1)^2n]/((2n)!) b) Summation from n = 1 to infinity of [(n^2 + 1)/(2n + 1)]z^n c) Summation from n = 1 to infinity of [(z + 1)^n]/n d) Summation from n = 0 to infinity of [(z - 1)/(z + 1)]^n

Complex Trigonometric Functions

a) Solve the equation sin(z) = sqrt(2) b) Show that |Cos(x+iy)|==0 and minus infinity < x < infinity c) Show that |Sinh(z)|^2 = Sinh^2(x) + Sin^2(y)

Financial accounting

Poulsbo Manufacturing, Inc. is currently an all-equity firm that pays no taxes. The market value of the firm's equity is $3 million. The cost of this unlevered equity is 15% per annum. Poulsby plans to issue $600,000.00 in debt and use the proceeds to repurchase stock. The cost of debt is 4% semi-annually. A. After Poulsbo r ...continues

Application of Residues

I want to find the Cauchy value by using residues. (See attached file for full problem description)

Evaluating the improper integrals using residues theorem.

Evaluating the improper integrals using residues theorem. See attached file for full problem description.

Solve the improper integral

(See attached file for full problem description) I tried solve this problem by following Cauchy's Residue Theorem. However, the answer is always wrong.

Residues

Evaluate the improper integrals using residues theorem.

Is this function analytic

(See attached file for full problem description) Is this function analytic? Why? I can't find the value to show it.

Application of Residue theorem

Application of Residue theorem. See attached file for full problem description.