- #1

Ineedahero

- 22

- 1

## Homework Statement

Verify Stokes' Theorem

F(x,y,z) = (xz,-y,x

^{2}y) and S is the surface bounded by the planes x = 0, y = 0, z = 0, and 2x + y + 2z = 8, excluding the part contained in the xz-plane.

## Homework Equations

Stokes' Theorem:

∫∫

_{A}∇xF dA = ∫

_{dA}F dR

## The Attempt at a Solution

Did the right hand side, got my answer of 4.

The left hand side is where I have trouble.

Curl F = {x

^{2}, x-2xy, 0}

How do I define dA? It's three separate planes. ...?

What are my bounds?

Thank you for your help