# Calculus 2 : Parametric, Polar, and Vector

## Example Questions

### Example Question #11 : Parametric, Polar, And Vector

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

None of the above

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)?

None of the above

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)?

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)?

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)?

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)?

None of the above

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)?

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)?

None of the above

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)?

None of the above

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)?