?In Exercises 1 - 6, verify the Divergence Theorem by evaluating \(\int_{S} \int \mathrm{F} \cdot \mathrm{N} d S\) as a surface inte

Chapter 15, Problem 2

(choose chapter or problem)

In Exercises 1 - 6, verify the Divergence Theorem by evaluating

\(\int_{S} \int \mathrm{F} \cdot \mathrm{N} d S\)

as a surface integral and as a triple integral.

\(\mathbf{F}(x, y, z)=2 x \mathbf{i}-2 y \mathbf{j}+z^{2} \mathbf{k}\)

S: cylinder \(x^{2}+y^{2}=4, \quad 0 \leq z \leq h\)

Text Transcription:

int_S int F cdot N dS

F(x, y, z) = 2xi - 2yj + z^2k

x^2 + y^2 = 4,     0 leq z leq h

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