Solved: Using Stokess Theorem In Exercises 918, use Stokess Theorem to evaluate In each

Chapter 15, Problem 16

(choose chapter or problem)

In Exercises 9 - 18, use Stokes's Theorem to evaluate \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\). In each case, C is oriented counterclockwise as viewed from above.

\(\mathbf{F}(x, y, z)=y z \mathbf{i}+(2-3 y) \mathbf{j}+\left(x^{2}+y^{2}\right) \mathbf{k}, \quad x^{2}+y^{2} \leq 16\)

 S: the first-octant portion of \(x^{2}+z^{2}=16\) over \(x^{2}+y^{2}=16\)

Text Transcription:

int_C F cdot dr

F(x, y, z) = yzi + (2 - 3y)j + (x^2 + y^2) k, x^2 + y^2 leq 16

x^2 + z^2 = 16

x^2 + y^2 = 16

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back