- #1

smize

- 78

- 1

## Homework Statement

Verify that the Stokes' theorem is true for the vector field

**F**(x,y,z) = -2yz

**i**+ y

**j**+ 3x

**k**,

*S*is the part of the paraboloid z = 2 - x

^{2}- y

^{2}that lies above the plane z = 1 oriented upward. (a) write the theorem (2 points); (b) LHS (4 Points ) (c) RHS (4 points)

## Homework Equations

(a) ∫

_{C}

**F***dot* d

**r**= ∫∫

_{S}curl

**F***dot* d

**S**

## The Attempt at a Solution

(b) and (c) I really don't know where to start.