2.2 Find upper bound of z +4 -dz - 3i)3 +1 where C is the circle |z – 3i| = 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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2.1 Evaluate la Im(z – i)dz where C is the contour from z = 1+ 2i to z = i and from
z = i to z = -i.
2.2 Find upper bound of
z +4
-dz
(z – 3i)3 + 1
where C is the circle |z – 3i| = 4.
2.3 Use the Cauchy integral formulae to evaluate
22 – 1
Ja (9 – 2²)(z + 2i))³
where C is a circle |z + i| = 3.
Transcribed Image Text:2.1 Evaluate la Im(z – i)dz where C is the contour from z = 1+ 2i to z = i and from z = i to z = -i. 2.2 Find upper bound of z +4 -dz (z – 3i)3 + 1 where C is the circle |z – 3i| = 4. 2.3 Use the Cauchy integral formulae to evaluate 22 – 1 Ja (9 – 2²)(z + 2i))³ where C is a circle |z + i| = 3.
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