2. Evaluate fadz, where C is a square with vertices -1±i, 1±i, traversed once in a counter clockwise direction.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Evaluate fe ædz, where C is a square with vertices -1±i, 1±i, traversed once in a counter
clockwise direction.
3. In each of the following problems, make use of the ML-inequality to either find an upper bound
or verify a given bound:
(a) Show that fodz≤ 27e², where Ci the circle |z1| = 1.
(b) Find an upper bound of fc zedz, where C is a quarter of a unit circle in the upper right
quadrant of C.
(c) Find an upper bound of |f²|=1 e¹/² dz|.
Transcribed Image Text:2. Evaluate fe ædz, where C is a square with vertices -1±i, 1±i, traversed once in a counter clockwise direction. 3. In each of the following problems, make use of the ML-inequality to either find an upper bound or verify a given bound: (a) Show that fodz≤ 27e², where Ci the circle |z1| = 1. (b) Find an upper bound of fc zedz, where C is a quarter of a unit circle in the upper right quadrant of C. (c) Find an upper bound of |f²|=1 e¹/² dz|.
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