Calculus 2 : Parametric, Polar, and Vector

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #11 : Parametric, Polar, And Vector

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

Possible Answers:

None of the above

Correct answer:

Explanation:

In order to find  with respect to , we first isolate  in both equations:

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

Example Question #12 : Parametric, Polar, And Vector

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

Possible Answers:

None of the above

Correct answer:

Explanation:

Given  and  , we can find  in terms of  by isolating  in both equations:

Since both of these transformations equal , we can set them equal to each other:

 

Example Question #13 : Parametric, Polar, And Vector

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

Possible Answers:

Correct answer:

Explanation:

Given  and  , we can find  in terms of  by isolating  in both equations:

Since both of these transformations equal , we can set them equal to each other:

Example Question #14 : Parametric, Polar, And Vector

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

Possible Answers:

Correct answer:

Explanation:

Knowing that  and , we can isolate  in both equations as follows:

Since both of these equations equal , we can set them equal to each other:

 

Example Question #15 : Parametric, Polar, And Vector

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

Possible Answers:

Correct answer:

Explanation:

Knowing that  and ,  we can isolate  in both equations as follows:

Since both of these equations equal , we can set them equal to each other:

 

Example Question #16 : Parametric, Polar, And Vector

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

Possible Answers:

None of the above

Correct answer:

Explanation:

Since we know   and ,  we can solve each equation for :

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

Example Question #11 : Parametric Form

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

Possible Answers:

Correct answer:

Explanation:

Since we know  and , we can solve each equation for :

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

Example Question #12 : Parametric Form

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

Possible Answers:

None of the above

Correct answer:

Explanation:

Since we know  and , we can solve each equation for :

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

Example Question #13 : Parametric Form

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

Possible Answers:

None of the above

Correct answer:

Explanation:

We know that  and , so we can solve both equations for :

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

Example Question #14 : Parametric Form

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

Possible Answers:

Correct answer:

Explanation:

We know that  and , so we can solve both equations for :

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

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