a. State Cauchy-Riemann equations. Show that f(z) x² + iy is not analytic anywhere but the Cauchy-Riemann equations are satisfied at the origin. e0z b. Show that . dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 -

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 62E
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4.
a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6
but the Cauchy-Riemann equations are satisfied at the origin.
0z
dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0.
z2+1
b. Show that o.
Transcribed Image Text:4. a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6 but the Cauchy-Riemann equations are satisfied at the origin. 0z dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 b. Show that o.
4.
a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6
but the Cauchy-Riemann equations are satisfied at the origin.
0z
dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0.
z2+1
b. Show that o.
Transcribed Image Text:4. a. State Cauchy-Riemann equations. Show that f (z) x² + iy is not analytic anywhere 6 but the Cauchy-Riemann equations are satisfied at the origin. 0z dz = 2ni sin 0 , where C is the circle |z| = 3 and 0 > 0. z2+1 b. Show that o.
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