Q1:- A) Let Z, = 1+i and Z2 = V3 - i find%3D1- The exponential representation and polar representation for Z, and Z22- The values of Z,Z2 and 4 in exponential representation and polar representationB) Evaluate the following integral : S cos? (2y). sin(2y) dyQ2:- A) Find C that make the function f(x) Continuous:F(x)=X <- 2CX2X2-2[1 3)B) Assume A = 2 4 and B-l2 5[1 3 21l2 4 5show that (AB)' B' A'Q3:- A) Solve by using Cramer's rule :3X + 5Y + 2Z =-7-4X +3Y – 5Z=- 195X+4 Y-7Z=-15B) Find for the following function : Y log2(3X2 + 1)3dxQ4:- A) Finddxfor the following function: y = cot-12+ tan-1B) Use DeMoivre's theorem to compute (3+ 3i)5dyQ5:- A) Use the chain rule to expressin terms of x and y : Y = 1-And t =at X=2dx1-xB) Evaluate the following integral: S3x³. e-2x* dx06:- A) Find the Domain and Range for the equation: y = v9-X?B) Evaluate the following integral: S(sec X+ cot X)2 dx

Answered: Image /qna-images/answer/e6fa8306-5e65-445e-93f4-236c20a38082.jpg

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

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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Question

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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