series

I am struggling with the mid term approaches. The following are a couple of Series that I am struggling with: 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 infini ...continues

trig functions

The trigonometric problems I am having are: 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) I appreciate the help!

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.

Evaluating the improper intergrals using residues theorem.

Evaluating the improper intergrals 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.

Locus of points that satisfy eqn eg circle, hyperbola, ect

In the following problems determine the set of Z satisfying the given equations 1. |Z|=|Z-i| 2. |Z|^2 + Im(z)= 16 3. |Z-i|+|Z| = 9 Where: Z = x+yi __ Z = x-yi