# Calculus 2 : Parametric, Polar, and Vector

## Example Questions

### Example Question #31 : Parametric, Polar, And Vector

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

None of the above

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)?

None of the above

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)?

None of the above

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)?

None of the above

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 ?

None of the above

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 ?

None of the above

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 ?

None of the above

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:

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)?

None of the above

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)?