From 61b48fd8baae321daf294ebf670ef4906240d260 Mon Sep 17 00:00:00 2001
From: Holden Rohrer <hr@hrhr.dev>
Date: Wed, 5 May 2021 19:03:09 -0400
Subject: homeworks and attendance quizzes for kang

---
 kang/att1 | 33 +++++++++++++++++++++++++++++++++
 1 file changed, 33 insertions(+)
 create mode 100644 kang/att1

(limited to 'kang/att1')

diff --git a/kang/att1 b/kang/att1
new file mode 100644
index 0000000..bc3ea17
--- /dev/null
+++ b/kang/att1
@@ -0,0 +1,33 @@
+1)
+
+(z^2+3)/((z+1)(z^2+5))
+
+Product rule, chain rule, and power rule can be used to find a
+derivative except where the function is undefined, (z+1)(z^2+5) = 0.
+These are z = -1, \pm\sqrt{5}
+
+2)
+
+f(x+iy) = xy + iy
+
+Ux = y
+Uy = x
+Vx = 0
+Vy = i
+
+Ux = Vy? y is a real number, so it is not equal to i. This is,
+therefore, not analytic.
+
+3)
+
+f(z) = z^2 = x^2 + 2xyi - y^2
+
+Ux = 2x
+Uy = -2y
+Vx = 2y
+Vy = 2x
+
+Ux = Vy? Yes.
+Uy = -Vx? Yes.
+
+This function is analytic everywhere on the plane.
-- 
cgit