Exam 6: Equations

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Eliminate the parameter t in the following: Eliminate the parameter t in the following:       ​   Eliminate the parameter t in the following:       ​ ​

(Multiple Choice)
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Eliminate the parameter t in the following: Eliminate the parameter t in the following:       ​   Eliminate the parameter t in the following:       ​ ​

(Multiple Choice)
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Solve the equation for θ  if Solve the equation for θ  if   . Give your answer in degrees.  . Give your answer in degrees. Solve the equation for θ  if   . Give your answer in degrees.

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

(Essay)
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Solve the equation for θ  if Solve the equation for θ  if   . Give your answer in degrees. sin 2 θ + cos  θ = 0 ​ . Give your answer in degrees. sin 2 θ + cos  θ = 0 ​

(Multiple Choice)
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Find all solutions if Find all solutions if   . Use exact values only.   ​ . Use exact values only. Find all solutions if   . Use exact values only.   ​ ​

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Solve for x , if Solve for x , if   . Write your answers in exact values only.   ​ . Write your answers in exact values only. Solve for x , if   . Write your answers in exact values only.   ​ ​

(Multiple Choice)
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Find all solutions in radians using exact values only. Find all solutions in radians using exact values only.

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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. 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.

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Write an expression that gives all solutions to the equation. Write an expression that gives all solutions to the equation.   ​ ​

(Multiple Choice)
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Find all solutions if Find all solutions if   . Give your answers in degrees. Verify your answer graphically.   θ = __________° . Give your answers in degrees. Verify your answer graphically. Find all solutions if   . Give your answers in degrees. Verify your answer graphically.   θ = __________° θ = __________°

(Short Answer)
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Find all degree solutions to the equation. Find all degree solutions to the equation.   ​ ​

(Multiple Choice)
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Find all degree solutions for the equation Find all degree solutions for the equation    in the interval   . ​  in the interval Find all degree solutions for the equation    in the interval   . ​ . ​

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Find the smallest positive value of t  for which Find the smallest positive value of t  for which   . .

(Essay)
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Solve for x , if Solve for x , if   . Write your answers in exact values only.  . Write your answers in exact values only. Solve for x , if   . Write your answers in exact values only.

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

(Essay)
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Write an expression that gives all solutions to the equation. Write an expression that gives all solutions to the equation.   ​ ​

(Multiple Choice)
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Eliminate the parameter t in the following: Eliminate the parameter t in the following:       ​   Eliminate the parameter t in the following:       ​ ​

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

(Essay)
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Eliminate the parameter t in the following: Eliminate the parameter t in the following:        Eliminate the parameter t in the following:    

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