Complex Analysis Answers

Find all values of z which satisfy e^(2iz) = i

consider the series S(z)=(sum from n=1 to infinity) sin(z)/n^2 (1+cos(piz))
a) prove that this series does not converge uniformly on C.

A sequence which is not increasing and not bounded

How much will it cost for my assignment? Task # 40650 I only need questions 1.15, 1.16, 1.17 and all of problem 2 (5 questions)

1. Find a harmonic conjugate of the function u(x,y)=cos x cosh y.
2. Let u(x,y)= ln (x^2+y^2) for (x,y) ∈R^2 \ {(0,0)}. Show that, although u is harmonic, there exists no f analytic on C \ {(0,0)} such that u= Re f. [ you must show u is indeed harmonic on the specified domain first]
3.For all a,b,c are complex numbers , we have :
i. a^b*a^c=a^b+c
ii. a^c*b^c=(ab)^c
iii. If a=b, then a^c= b^c

What is the present value of $1,600 per year, at a discount rate of 7 percent, if the first payment will be received 7 years from now and the last payment will be received 30 years from now? Hint: draw a timeline and count the number of payments.