Question 1

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to one decimal place.) ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 2

Find a cubic polynomial function f with real coefficients that has zeros 2 and 4 - 3i where f(-3)=-580. ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Perform the operation and write the result in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms.   ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 6

Multiply the complex numbers below and leave the result in trigonometric form.   ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 7

Perform the operation and leave the result in trigonometric form. ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 8

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​   ​

Accepted Answer

A) -38i, 39 
B)    i, 39 
C) 1521i, 39 
D) -   i, 39 
E) ​-i, 39 
A) -38i, 39 
B)    i, 39 
C) 1521i, 39 
D) -   i, 39 
E) ​-i, 39

Question 9

Solve the equation.Write complex solutions in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Perform the operation and leave the result in trigonometric form. ​   ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 12

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​

Accepted Answer

A) -22i 
B) -2,048i 
C) 22i 
D) 2,048i 
E) 4,194,304i 
A) -22i 
B) -2,048i 
C) 22i 
D) 2,048i 
E) 4,194,304i

Question 13

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) ​   ​

Accepted Answer

A)    ​ 
B)    ​ 
C)    ​ 
D)    ​ 
E)    
A)    ​ 
B)    ​ 
C)    ​ 
D)    ​ 
E)

Question 14

Multiply the complex numbers below and leave the result in trigonometric form. ​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 15

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 16

Solve the equation.Write complex solutions in standard form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 18

Represent the complex number below graphically. 2

Accepted Answer

A) ​   
B)    
C) ​   
D) ​   
E) ​   
A) ​   
B)    
C) ​   
D) ​   
E) ​

Question 19

Write the complex number in standard form. ​
​   ​

Accepted Answer

A) ​-0.01i 
B) ​​-0.0001i 
C) ​3.01i 
D) ​0.01i 
E) ​0.0001i 
A) ​-0.01i 
B) ​​-0.0001i 
C) ​3.01i 
D) ​0.01i 
E) ​0.0001i

Question 20

Divide the complex numbers below and leave the result in trigonometric form.

Accepted Answer

A)    ​ 
B) ​   
C) ​   
D) ​   
E) ​   
A)    ​ 
B) ​   
C) ​   
D) ​   
E) ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to one decimal place.)

Find a cubic polynomial function f with real coefficients that has zeros 2 and 4 - 3i where f(-3)=-580.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Perform the operation and write the result in standard form.

Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms.

Multiply the complex numbers below and leave the result in trigonometric form.

Perform the operation and leave the result in trigonometric form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Solve the equation.Write complex solutions in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Perform the operation and leave the result in trigonometric form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)

Multiply the complex numbers below and leave the result in trigonometric form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Solve the equation.Write complex solutions in standard form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Represent the complex number below graphically. 2

Write the complex number in standard form.

Divide the complex numbers below and leave the result in trigonometric form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to one decimal place.) ​ ​

Find a cubic polynomial function f with real coefficients that has zeros 2 and 4 - 3i where f(-3)=-580. ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​ ​

Perform the operation and write the result in standard form. ​ ​

Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms. ​

Multiply the complex numbers below and leave the result in trigonometric form. ​

Perform the operation and leave the result in trigonometric form. ​ ​

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​ ​

Solve the equation.Write complex solutions in standard form. ​ ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​ ​

Perform the operation and leave the result in trigonometric form. ​ ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​ ​

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) ​ ​

Multiply the complex numbers below and leave the result in trigonometric form. ​

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​ ​

Solve the equation.Write complex solutions in standard form. ​ ​

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate. ​ ​

Represent the complex number below graphically. 2

Write the complex number in standard form. ​ ​ ​

Divide the complex numbers below and leave the result in trigonometric form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answer to one decimal place.)

Find a cubic polynomial function f with real coefficients that has zeros 2 and 4 - 3i where f(-3)=-580.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Perform the operation and write the result in standard form.

Perform the indicated operation using trigonometric form.Leave the answer in trigonometric forms.

Multiply the complex numbers below and leave the result in trigonometric form.

Perform the operation and leave the result in trigonometric form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Solve the equation.Write complex solutions in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Perform the operation and leave the result in trigonometric form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)

Multiply the complex numbers below and leave the result in trigonometric form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Solve the equation.Write complex solutions in standard form.

Write the complex conjugate of the complex number.Then multiply the number by its complex conjugate.

Write the complex number in standard form.