Q1/ Study the Cauchy -Riemann equations and determine this equation satisfy it or not. f(z) = e' = e*(cos y + isin y)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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أسئلة الفصل الأول ریاضیات
ش الریاضیات صسانی هنکسة تقيات الحاسوب
الفصول الدراسية
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Q1/ Study the Cauchy -Riemann equations and determine this equation
satisfy it or not.
f(z) = e' = e*(cos y + isin y)
Q2/(a): Evaluate the double integral f, 3xy dA over the rectangle
- ((x, y):-3 <x< 2,
R =
0<ys 1,
dA = dydx}
(b) Use the double integral to find the area of the region R enclosed
between x=
V2y x
Q3/ Determine whether the following functions are harmonic or not.
1. 3ry + 5xy2
2y
2. 3x'y + 2x² – y - 2y
Page
171
hp
Transcribed Image Text:أسئلة الفصل الأول ریاضیات ش الریاضیات صسانی هنکسة تقيات الحاسوب الفصول الدراسية drive.google.com/file/d/1G11KWQI Open with Google Docs Q1/ Study the Cauchy -Riemann equations and determine this equation satisfy it or not. f(z) = e' = e*(cos y + isin y) Q2/(a): Evaluate the double integral f, 3xy dA over the rectangle - ((x, y):-3 <x< 2, R = 0<ys 1, dA = dydx} (b) Use the double integral to find the area of the region R enclosed between x= V2y x Q3/ Determine whether the following functions are harmonic or not. 1. 3ry + 5xy2 2y 2. 3x'y + 2x² – y - 2y Page 171 hp
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