p1alg
A
What are the partial fraction decompositions(sum of terms of the forms ) for
(z - ai ) ki
1 1
a) f(z)= b) f(z)=
z - z2
4 2
z +1
c) What are the values of Ú
f (z) dz for the above choices of f(z)?
z=4
zdz
2. Find Ú 2 by
.z = 2 o z + 1
a) residual calculation
z 1 d
b) by writing 2 = log(z 2 + 1) . Why are the results the same?
z + 1 2 dz
zdz
c) Same question for Ú 2
1 z +1
2
.z =
Mathematics Homework Solutions
#23564
Partial Fractions
What are tha partial fraction decompositions: See attachment for details
What are the values of: See attachment for details
(residual calculation, results and values)
Please see the attachment for full questions and details
This shows how to do partial fraction decompositions
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