Question 1

If a projectile (such as a bullet)is fired into the air with an initial velocity v at an angle of elevation θ  (see the figure), then the height h of the projectile at time t is given by h = -16 t 2 + vt sin  θ  Give the equation for the height, if v is 1,600 feet per second and θ  is 30°. (Leave your answer in exact value form.)
​

Accepted Answer

A)   2 + vt sin  θ   Give the equation for the height, if v is 1,600 feet per second and θ  is 30°. (Leave your answer in exact value form.)  ​ 
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B)   2 + vt sin  θ   Give the equation for the height, if v is 1,600 feet per second and θ  is 30°. (Leave your answer in exact value form.)  ​ 
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C)   2 + vt sin  θ   Give the equation for the height, if v is 1,600 feet per second and θ  is 30°. (Leave your answer in exact value form.)  ​ 
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D)   2 + vt sin  θ   Give the equation for the height, if v is 1,600 feet per second and θ  is 30°. (Leave your answer in exact value form.)  ​ 
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E)   2 + vt sin  θ   Give the equation for the height, if v is 1,600 feet per second and θ  is 30°. (Leave your answer in exact value form.)  ​ 
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Question 2

Find all solutions if  . Round your answer to the nearest tenth.  ​

Accepted Answer

A)  27.6°, 92.4°, 151.3°, 218.2°, 267.6°, 324.6°
B)  28.8°, 90.3°, 147.6°, 212.4°, 270.8°, 332.4°
C)  27.6°, 92.4°, 147.6°, 212.4°, 267.6°, 332.4
D)  27.6°, 90.3°, 151.3°, 212.4°, 267.6°, 332.4°
E)  28.8°, 92.4°, 147.6°, 218.2°, 270.8°, 332.4° C

Question 3

Solve the equation for x  if  . Give your answer in radians using exact values only.

Accepted Answer

​  ,  ,

Question 4

Solve for θ  if  .

Accepted Answer

The answer of Solve for θ  if  . ...

Question 5

Eliminate the parameter t in the following:     ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Eliminate the parameter t from the following and then sketch the graph:  ​

Accepted Answer

A)    
B)    
C)    
D)    
E)

Question 7

Solve the equation for x if  .  ​

Accepted Answer

A)    ,   ,  
B)  0,   ,  
C)    ,   ,  
D)    ,  ,  
E)    ,   ,

Question 8

Use your graphing calculator to find the solutions to the equation to the nearest tenth of a degree in the interval   by defining the left side and right side of the equation as functions and then finding the intersection points of their graphs. Make sure your calculator is set to degree mode. 
sin  θ - 4 = 7sin  θ

Accepted Answer

The answer of Use your graphing calculator to find the...

Question 9

Solve the equation for θ  if  . Do not use a calculator.

Accepted Answer

The answer of Solve the equation for θ  if ...

Question 10

Solve for θ  if  .

Accepted Answer

The answer of Solve for θ  if  . ...

Question 11

Find all solutions if  . Use exact values only. Verify your answer graphically.  ​

Accepted Answer

A)    ,   ,   ,  
B)    ,   ,   ,  
C)    ,   ,   ,  
D)    ,   ,   ,  
E)  0,

Question 12

Solving the following equation will require you to use the quadratic formula. Solve the equation for θ  between 0° and 360°, and round your answers to the nearest tenth of a degree.

Accepted Answer

The answer of Solving the following equation will require you...

Question 13

Eliminate the parameter t from the following and then sketch the graph:     ​

Accepted Answer

A)  ​  
B)      
C)    
D)    
E)

Question 14

Solve for θ  if  .  ​

Accepted Answer

A)  60°, 300°
B)  30°, 330°
C)  30°, 150°
D)  210°, 330°
E)  240°, 300°

Question 15

Eliminate the parameter t in the following:

Accepted Answer

The answer of Eliminate the parameter t in the following:...

Question 16

Eliminate the parameter t in the following:

Accepted Answer

The answer of Eliminate the parameter t in the following:...

Question 17

The formula below gives the relationship between the number of sides n , the radius r , and the length of each side l in a regular polygon. Find n , if l = r .   n = __________

Accepted Answer

The answer of The formula below gives the relationship between...

Question 18

Eliminate the parameter t in the following:

Accepted Answer

The answer of Eliminate the parameter t in the following:...

Question 19

Solve the equation for x if  .  ​

Accepted Answer

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

Question 20

Eliminate the parameter t in the following:

Accepted Answer

The answer of Eliminate the parameter t in the following:...

Exam 6: Equations

Find all solutions if . Round your answer to the nearest tenth. ​

Solve the equation for x if . Give your answer in radians using exact values only.

Solve for θ if .

Eliminate the parameter t in the following: ​

Eliminate the parameter t from the following and then sketch the graph: ​

Solve the equation for x if . ​

Solve the equation for θ if . Do not use a calculator.

Solve for θ if .

Find all solutions if . Use exact values only. Verify your answer graphically. ​

Solving the following equation will require you to use the quadratic formula. Solve the equation for θ between 0° and 360°, and round your answers to the nearest tenth of a degree.

Eliminate the parameter t from the following and then sketch the graph: ​

Solve for θ if . ​

Eliminate the parameter t in the following:

Eliminate the parameter t in the following:

The formula below gives the relationship between the number of sides n , the radius r , and the length of each side l in a regular polygon. Find n , if l = r . n = __________

Eliminate the parameter t in the following:

Solve the equation for x if . ​

Eliminate the parameter t in the following:

Find all solutions if . Round your answer to the nearest tenth.

Eliminate the parameter t in the following:

Eliminate the parameter t from the following and then sketch the graph:

Solve the equation for x if .

Find all solutions if . Use exact values only. Verify your answer graphically.

Eliminate the parameter t from the following and then sketch the graph:

Solve for θ if .

Solve the equation for x if .