Complex Variables

Please show all steps to solution. Evaluate the integral Where γ is a circle centered at the origin with radius 2.

Singularity

What type of singularity does have at z=0? Find the residue of at the singularity . (see attached for equations)

Unit circle integral

Evaluate the integral Where is the unit circle. (see attached for equations)

Complex integration

Please show all steps to solution. Let . Evaluate the integral dz Where γ is the unit circle.

Complex Integration

Help required on how to do the following: to evaluate : integral (z+i)/(z+2i) dz where curve is semicircle from 0 to 4i, initial point 0 and where curve is circle |z-2i|=2 anticlockwise.

Complex Integration

Would appreciate any help with the following problem: What is integral of (z+i)/(z-2i)dz when curve is semicircle from 0 to 4i on rhs of Im axis with radius of 2, starting point =0 when curve is circle |z-2i|=2 anticlockwise.

Complex Integration - amended yet again for clarification...

Mathematics, Complex Variables - Other Complex Integration - whole problem (amended) Would appreciate any help with the following amended problem: What is integral of (z+i)/(z-2i)dz in both cases : 1. when curve is semicircle from 0 to 4i on rhs of Im axis with radius of 2, starting point =0 2. when curve is ...continues

Complex Integration

I would appreciate any help on how to do this, thanks! Please see file attached... (z,r) is a circular contour of radius r>0 centred at z Explain why cannot be evaluated by applying Cauchy’s integral formula with , when = 1. Hence evaluate the integral.

Cost-Benefit Analysis : Effect of Changing a Company's Credit Terms

The Dunstill company has obtained the following information: • Annual Credit Sales= 30 million • Collections period is= 60 days • Credit terms= Net 30 days • Interest rate = 12% The company is considering changing its credit terms to 4/10 net 30. The company anticipates 50% of the customers will take advantage of this poli ...continues

Probability of payment before creation of credit policy

7. Mucklehoney Sports operates a mail-order running shoe business. Management is considering adopting a credit policy to expand its business from an all sales for cash. The credit policy under consideration is as follows: No Credit Credit Price per unit $35 $40 Cost per unit $25 $32 Quantity sold 2,000 3,000 Probability of ...continues