### All Calculus 3 Resources

## Example Questions

### Example Question #33 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

The curl of a vector function **F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #34 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

The curl of a vector function **F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #31 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

The curl of a vector function **F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

Not as bad as it looked, actually.

### Example Question #36 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #21 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #31 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #21 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #40 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #41 : Surface Integrals

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

### Example Question #3861 : Calculus 3

Let **S** be a known surface with a boundary curve, **C**.

Considering the integral , utilize Stokes' Theorem to determine an equivalent integral of the form:

**Possible Answers:**

**Correct answer:**

In order to utilize Stokes' theorem, note its form

**F** over an oriented surface **S** is equivalent to the function **F **itself integrated over the boundary curve, **C**, of **S**.

Note that

From what we're told

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