Calculus 2 : Parametric, Polar, and Vector

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #31 : Parametric, Polar, And Vector

Given  and , what is  in terms of  (rectangular form)?

Possible Answers:

None of the above

Correct answer:

Explanation:

Since we have  and  , let's solve each equation for :

 

Since both equations equal , we can set them equal to each other and solve for :

Example Question #32 : Parametric, Polar, And Vector

Given  and , what is  in terms of  (rectangular form)?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and , let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

 

Example Question #33 : Parametric, Polar, And Vector

Given  and , what is  in terms of  (rectangular form)?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and  let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

Example Question #34 : Parametric, Polar, And Vector

Given  and , what is  in terms of  (rectangular form)?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and , let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

Example Question #35 : Parametric, Polar, And Vector

If  and , what is  in terms of ?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and ,  let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

 

 

 

Example Question #31 : Parametric, Polar, And Vector

If  and , what is  in terms of ?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and , let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

Example Question #31 : Parametric Form

If  and , what is  in terms of ?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and ,  let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

Example Question #32 : Parametric Form

Convert the following function from parametric to rectangular coordinates:

Possible Answers:

Correct answer:

Explanation:

To convert to rectangular coordinates, eliminate the parameter by setting one of the functions equal to t:

To finish, substitute this into the equation for y:

Example Question #33 : Parametric Form

Given  and , what is  in terms  (rectangular form)?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and ,  let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

 

Example Question #34 : Parametric Form

Given  and , what is  in terms  (rectangular form)?

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and , let's solve both equations for :

Since both equations equal , let's set them equal to each other and solve for :

 

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