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Q1:- A) Let Z, =1+i and Z2 V3 -i find %3D 1- The exponential representation and polar representation for Z, and Z2 2- The values of Z,Zz and in exponential representation and polar representation B) Evaluate the following integral : S cos? (2y). sin(2y) dy

Q1:- A) Let Z, =1+i and Z2 V3 -i find %3D 1- The exponential representation and polar representation for Z, and Z2 2- The values of Z,Zz and in exponential representation and polar representation B) Evaluate the following integral : S cos? (2y). sin(2y) dy

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Q1:- A) Let Z, = 1+i and Z2 = V3 - i find %3D 1- The exponential representation and polar representation for Z, and Z2 2- The values of Z,Z2 and 4 in exponential representation and polar representation B) Evaluate the following integral : S cos? (2y). sin(2y) dy Q2:- A) Find C that make the function f(x) Continuous: F(x)= X <- 2 CX2 X2-2 [1 3) B) Assume A = 2 4 and B- l2 5 [1 3 21 l2 4 5 show that (AB)' B' A' Q3:- A) Solve by using Cramer's rule : 3X + 5Y + 2Z =-7 -4X +3Y – 5Z=- 19 5X+4 Y-7Z=-15 B) Find for the following function : Y log2(3X2 + 1)3 dx Q4:- A) Find dx for the following function: y = cot-12+ tan-1 B) Use DeMoivre's theorem to compute (3+ 3i)5 dy Q5:- A) Use the chain rule to express in terms of x and y : Y = 1-And t = at X=2 dx 1-x B) Evaluate the following integral: S3x³. e-2x* dx 06:- A) Find the Domain and Range for the equation: y = v9-X? B) Evaluate the following integral: S(sec X+ cot X)2 dx
Transcribed Image Text:Q1:- A) Let Z, = 1+i and Z2 = V3 - i find %3D 1- The exponential representation and polar representation for Z, and Z2 2- The values of Z,Z2 and 4 in exponential representation and polar representation B) Evaluate the following integral : S cos? (2y). sin(2y) dy Q2:- A) Find C that make the function f(x) Continuous: F(x)= X <- 2 CX2 X2-2 [1 3) B) Assume A = 2 4 and B- l2 5 [1 3 21 l2 4 5 show that (AB)' B' A' Q3:- A) Solve by using Cramer's rule : 3X + 5Y + 2Z =-7 -4X +3Y – 5Z=- 19 5X+4 Y-7Z=-15 B) Find for the following function : Y log2(3X2 + 1)3 dx Q4:- A) Find dx for the following function: y = cot-12+ tan-1 B) Use DeMoivre's theorem to compute (3+ 3i)5 dy Q5:- A) Use the chain rule to express in terms of x and y : Y = 1-And t = at X=2 dx 1-x B) Evaluate the following integral: S3x³. e-2x* dx 06:- A) Find the Domain and Range for the equation: y = v9-X? B) Evaluate the following integral: S(sec X+ cot X)2 dx
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