Calculus 2 : Parametric Form

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #57 : 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 #58 : Parametric, Polar, And Vector

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

Possible Answers:

None of the answers provided

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 #59 : 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 #60 : 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 #61 : Parametric, Polar, And Vector

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

Possible Answers:

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 #62 : Parametric

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 #61 : Parametric, Polar, And Vector

Convert the following equation from parametric to rectangular form:

Possible Answers:

Correct answer:

Explanation:

To convert from parametric to rectangular form, we must eliminate the parameter from one of the equations:

Now, replace all of the t's in the equation for y with the above term:

Example Question #62 : Parametric, Polar, And Vector

Convert the following parametric equation to rectangular form:

Possible Answers:

Correct answer:

Explanation:

To convert the equation into parametric form, we must eliminate the parameter by finding t in terms of either x or y:

Now, replace all of the t's in the equation for y with the above term:

Example Question #63 : Parametric, Polar, And Vector

Convert the following parametric equation into rectangular form:

Possible Answers:

Correct answer:

Explanation:

To convert from parametric form to rectangular form, we must eliminate the parameter:

To do this we will first get t in terms of x.

Now, replace all of the t's in the equation for y:

Example Question #66 : 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 :

 

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