Stokes' theorem $\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$ verification
Verify Stokes' theorem
$$\int_S \nabla \times F \cdot dS= \int_C F\cdot dr$$
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
4.8K
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.
