Harmonic conjugate #7
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1) Determine a so that the function ?? = ?? ???? cos ???? is harmonic and find a harmonic
conjugate.
2) Find the Taylor series of ?? ??(???2) with center ??0 = 1.
3) Find all Taylor and Laurent series of
??8
1??? 4
, ???? ??0 = 0 Determine the precise region of
convergence. Show details.
4) Determine the locations of singularities, including those at infinity, also state the order of
1
??(???1)
poles for ??
.
(?? ?1)
5) Evaluate ?? ??(???2) with center ??0 = 1 Integrate ???
+? sin 3?? ????
6) Evaluate ???
?? 4 +1
.
?? 2 sin ??
4?? 2 ?1
???? C the unit circle.
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conjugate.
2) Find the Taylor series of ?? ??(???2) with center ??0 = 1.
3) Find all Taylor and Laurent series of
??8
1??? 4
, ???? ??0 = 0 Determine the precise region of
convergence. Show details.
4) Determine the locations of singularities, including those at infinity, also state the order of
1
??(???1)
poles for ??
.
(?? ?1)
5) Evaluate ?? ??(???2) with center ??0 = 1 Integrate ???
+? sin 3?? ????
6) Evaluate ???
?? 4 +1
.
?? 2 sin ??
4?? 2 ?1
???? C the unit circle.
Purchase answer to see full
attachment
Explanation & Answer:
6 Questions
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