Question 1

Perform the operation shown below and leave the result in trigonometric form.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

The vector  gives the number of units of two models of laptops produced by a company. The vector  gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Find the cube roots of the following complex number. Write each of the roots in standard form.

Accepted Answer

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

Question 4

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Accepted Answer

A)  68.17 sq. units 
B)  61.36 sq. units 
C)  54.54 sq. units 
D)  81.81 sq. units 
E)  74.99 sq. units

Question 5

Find the cube roots of the following complex number. Write each of the roots in standard form.

Accepted Answer

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

Question 6

Find the vector v that has a magnitude of  and is in the same direction as u, where  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Find the standard form of the complex number  . Round values to the nearest hundredth.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Determine  where $\theta$ is the angle between u and v. Round answer to two decimal places.

Accepted Answer

A)  7.07 
B)  5.00 
C)  6.83 
D)  8.66 
E)  6.04

Question 9

Find the vector v that has a magnitude of  and is in the same direction as u, where  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Find the magnitude of vector v.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 7: Additional Topics in Trigonometry

Perform the operation shown below and leave the result in trigonometric form.

The vector gives the number of units of two models of laptops produced by a company. The vector gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

Find the cube roots of the following complex number. Write each of the roots in standard form.

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Find the cube roots of the following complex number. Write each of the roots in standard form.

Find the vector v that has a magnitude of and is in the same direction as u, where .

Find the standard form of the complex number . Round values to the nearest hundredth.

Determine $Determine where \theta is the angle between u and v. Round answer to two decimal places. A) 7.07 B) 5.00 C) 6.83 D) 8.66 E) 6.04$ where $\theta$ is the angle between u and v. Round answer to two decimal places.

Find the vector v that has a magnitude of and is in the same direction as u, where .

Find the magnitude of vector v.

Exam 7: Additional Topics in Trigonometry

Perform the operation shown below and leave the result in trigonometric form.

The vector gives the number of units of two models of laptops produced by a company. The vector gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

Find the cube roots of the following complex number. Write each of the roots in standard form.

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Find the cube roots of the following complex number. Write each of the roots in standard form.

Find the vector v that has a magnitude of and is in the same direction as u, where .

Find the standard form of the complex number . Round values to the nearest hundredth.

Determine where θ\thetaθ is the angle between u and v. Round answer to two decimal places.

Find the vector v that has a magnitude of and is in the same direction as u, where .

Find the magnitude of vector v.

Determine $Determine where \theta is the angle between u and v. Round answer to two decimal places. A) 7.07 B) 5.00 C) 6.83 D) 8.66 E) 6.04$ where $\theta$ is the angle between u and v. Round answer to two decimal places.