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Suppose F is entire and F(z) is real if z is real. Prove that F & has at most one zero.
One bundle of $50 bills contains 200 bills,& what would be the total value of 20 identical bundles?
Evaluate the complex integral& & & e[sup]z[/sup]/((z[sup]2[/sup]+1)[sup]2[/sup](z-1))dz& & & & where C is a circle or radius of 10 centered in the origin oriented counterclockwise.
Find the locus of points in the plane satisfying each of the given conditions:

(i) |z-5| = 6
(ii) |z-2i| >=1
(iii) Re(z+2) = -1

(iv) Re{i(conjugate of z)} =3
(v) |z+i| = |z-i|

Also Sketch its diagram.
Please tell me as soon as possible...?
Find all third roots of -64i .
Why sinh (z+1+i)/3 does not have an inverse function.Please note that z refers to the complex number x +iy
Could someone shine some light on how to find the inverse,the domain and the rule of the
following function?

f(z)= ln [(z+1+i)/3]
Using the complex variable techniques, evaluate the real integral
2π sin²θ
∫ -------- dθ
0 5-4cosθ
I have got sequence (called An). The limit of (An) is alpha (n goes from 1 to infinite)
I have got another sequence called Xn. It looks like:

Xn=1/n*(Sum(Ak)) - (k goes from 1 to n)

I have to prove that the limit of the X sequence is alpha too!

I have tried to separate to two sequence from each other as:
lim(an*bn)=lim(an)*lim(bn)
So I think lim(1/n*(Sum(Ak))=lim(1/n)* lim(Sum(Ak))=0*lim(Sum(Ak))=0

But that's not correct because the limit of Xn should be alpha. What can I do?
How to multiply the following :

(7.1 angel 112) x ( 0.06 angel 22) x (-0.25)
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