# Stokes' theorem $\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$ verification

$$\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$$

where $F=(2x,3xy^2,5z)$ where $S$ is the surfce of the paraboloid

\[z=4-x^2-y^2, z\geq 0\]

and $C=\partial S$.

Bill Space

16

## Answer

**Answers can only be viewed under the following conditions:**

- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.

1 Attachment

Erdos

4.7K

The answer is accepted.

Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.

- answered
- 630 views
- $8.00

### Related Questions

- Compounding interest of principal P, where a compounding withdrawal amount W get withdrawn from P before each compounding of P.
- Calc 3 Question
- Vector fields, integrals, and Green's Theorem
- A constrained variational problem
- Integration by $u$ substitution
- Evaluate $\iint_{R}e^{-x-y}dx dxy$
- Derivative of $\int_{\sin x}^{x^2} \cos (t)dt$
- What is the integral of (x^2-8)/(x+3)dx