4. Determine whether or not each of the following statements is true or false, and justify...
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4. Determine whether or not each of the following statements is true or false, and justify your answer with a proof or a counterexample. (a) (3 points) fr z dz = frdz, where I is the positively oriented unit circle |2| = 1. (b) (3 points) If f is analytic at every point on a closed contour T, then fr f(2) dz (c) (3 points) If f : S → R is a real-valued function on a domain S c C, then the integral fr f(2) dz is a real number, for any contour I in S. = 0. 4. Determine whether or not each of the following statements is true or false, and justify your answer with a proof or a counterexample. (a) (3 points) fr z dz = frdz, where I is the positively oriented unit circle |2| = 1. (b) (3 points) If f is analytic at every point on a closed contour T, then fr f(2) dz (c) (3 points) If f : S → R is a real-valued function on a domain S c C, then the integral fr f(2) dz is a real number, for any contour I in S. = 0.
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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