(c) Show that if a

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 27E

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Question

Note: We have not learned anything yet about Cauchy's integral formula, residue theorem, etc. All we know so far is using line integrals. I hope you can solve this problem in that way. Thanks.

(c) Show that if |a| < r < [b], then
1
2πi
S₁tz-
-dz
a)(z-b)
a- - b'
where y denotes the circle centered at the origin, of radius r, with the positive
orientation.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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