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

Question

$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 $C=\partial S$.

Multivariable Calculus Stokes' Theorem Integrals

Bill Space

Report

Answer

The answer is accepted.

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

Answer 1

Answers can be viewed only if

The questioner was satisfied and accepted the answer, or
The answer was disputed, but the judge evaluated it as 100% correct.

View the answer

1 Attachment

Erdos

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

Answer

Related Questions

Search