Mathematics Homework Solutions
Problem
#92739

Modulus of Integral

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Q2.pdf
(a) Evaluate
I,U,
wheref, : TrQ)- (l+ i)t t e 10,41 t3l



(b) Use the estimationtheoremto find an upperestimatefor the modulusof the integral
re'
where f is the circle { z: lzl-2 |
W,{,
t6l


(c) Evaluate wheref is the righthalfof thecircle{z: lz-tl-l } traversed
lzr'dz
anticlockwise 0 to 2i.
from I7l


(d)LetI,=t^+o,whereC={z:|z-3t|_2|.Eva|uateI,forea9hofthefollowi
r (z-Zi)'
of in form.
values n, givingyouranswers Cartesian

(i) n =0
(ii) n =l
(iii) n =2. tel

Solution Summary

Modulus of Integral is investigated.

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