Question 1

Simplify the complex number and write it in standard form. ​   ​

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Find the values of x and y.
​
x + 59i = y - yi
​
x = __________
​
y = __________

Accepted Answer

The answer of Find the values of x and y.
​
x...

Question 4

Write the following roots in standard form.(Round your answer to four decimal places.) ​
Square roots of   ​

Accepted Answer

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

Question 5

Given 1+i is a root, determine all other roots of f(x)=x5 - 6x4 + 15x3 - 18x2 + 10x . ​

Accepted Answer

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

Question 6

Sketch the graph of all complex numbers z satisfying the given condition. ​   ​

Accepted Answer

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

Question 7

Represent the complex number below graphically. -3+ 3i

Accepted Answer

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

Question 8

Represent the complex number below graphically.

Accepted Answer

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

Question 9

Use DeMoivre's theorem to find the indicated roots of the complex number. ​
Cube roots of 125
​

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 following complex number.

Accepted Answer

A) -5,184 
B) 46,656 
C) 5,184 
D) 186,624 
E) 7,776 
A) -5,184 
B) 46,656 
C) 5,184 
D) 186,624 
E) 7,776

Question 11

Describe the error. ​   ​

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

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

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Accepted Answer

A) -4 
B) -8 
C)    
D)    
E) 8 
A) -4 
B) -8 
C)    
D)    
E) 8

Question 15

Find the trigonometric form of the complex number shown below. 10i

Accepted Answer

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

Question 16

Find the trigonometric form of   . ​

Accepted Answer

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

Question 17

Write the following roots in standard form.(Round your answer to four decimal places.) ​
Square roots of   ​

Accepted Answer

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

Question 18

Perform the indicated operation using the standard form. ​   ​

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Accepted Answer

A) 2,500 
B) 3,125 
C) 15,625 
D) 62,500 
E) -2,500 
A) 2,500 
B) 3,125 
C) 15,625 
D) 62,500 
E) -2,500

Simplify the complex number and write it in standard form.

Solve the equation.Write complex solutions in standard form.

Find the values of x and y. x + 59i = y - yi x = y =

Write the following roots in standard form.(Round your answer to four decimal places.) Square roots of

Given 1+i is a root, determine all other roots of f(x)=x⁵ - 6x⁴ + 15x³ - 18x² + 10x .

Sketch the graph of all complex numbers z satisfying the given condition.

Represent the complex number below graphically. -3+ 3i

Represent the complex number below graphically.

Use DeMoivre's theorem to find the indicated roots of the complex number. Cube roots of 125

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Describe the error.

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.)

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Find the trigonometric form of the complex number shown below. 10i

Find the trigonometric form of .

Write the following roots in standard form.(Round your answer to four decimal places.) Square roots of

Perform the indicated operation using the standard form.

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

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Simplify the complex number and write it in standard form. ​ ​

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

Find the values of x and y. ​ x + 59i = y - yi ​ x = __________ ​ y = __________

Write the following roots in standard form.(Round your answer to four decimal places.) ​ Square roots of ​

Given 1+i is a root, determine all other roots of f(x)=x5 - 6x4 + 15x3 - 18x2 + 10x . ​

Sketch the graph of all complex numbers z satisfying the given condition. ​ ​

Represent the complex number below graphically. -3+ 3i

Represent the complex number below graphically.

Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Cube roots of 125 ​

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Describe the error. ​ ​

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.) ​ ​

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Find the trigonometric form of the complex number shown below. 10i

Find the trigonometric form of . ​

Write the following roots in standard form.(Round your answer to four decimal places.) ​ Square roots of ​

Perform the indicated operation using the standard form. ​ ​

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

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Simplify the complex number and write it in standard form.

Solve the equation.Write complex solutions in standard form.

Find the values of x and y. x + 59i = y - yi x = y =

Write the following roots in standard form.(Round your answer to four decimal places.) Square roots of

Given 1+i is a root, determine all other roots of f(x)=x⁵ - 6x⁴ + 15x³ - 18x² + 10x .

Sketch the graph of all complex numbers z satisfying the given condition.

Use DeMoivre's theorem to find the indicated roots of the complex number. Cube roots of 125

Describe the error.

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.)

Find the trigonometric form of .

Write the following roots in standard form.(Round your answer to four decimal places.) Square roots of

Perform the indicated operation using the standard form.

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