### All Calculus 2 Resources

## Example Questions

### Example Question #1 : Parametric Form

and . What is in terms of (rectangular form)?

**Possible Answers:**

**Correct answer:**

In order to solve this, we must isolate in both equations.

and

.

Now we can set the right side of those two equations equal to each other since they both equal .

.

By multiplying both sides by , we get , which is our equation in rectangular form.

### Example Question #3 : Parametric, Polar, And Vector Functions

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

**Possible Answers:**

**Correct answer:**

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 #2 : Parametric Form

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

**Possible Answers:**

None of the above

**Correct answer:**

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 #3 : Parametric Form

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

**Possible Answers:**

None of the above

**Correct answer:**

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 #4 : Parametric Form

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

**Possible Answers:**

None of the above

**Correct answer:**

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 #5 : Parametric Form

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

**Possible Answers:**

None of the above

**Correct answer:**

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 #6 : Parametric Form

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

**Possible Answers:**

**Correct answer:**

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 #7 : Parametric Form

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

**Possible Answers:**

**Correct answer:**

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 #8 : Parametric Form

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

**Possible Answers:**

**Correct answer:**

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 #9 : Parametric Form

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

**Possible Answers:**

None of the above

**Correct answer:**

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 :

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