Matchmaticians
Home How it works Log in Sign up
Matchmaticians
  • Home
  • Search
  • How it works
  • Ask Question
  • Tags
  • Support
  • Affiliate Program
  • Log in
  • Sign up

Use  Stokes Theorem to compuet a surface integral 

Let $F=y i- x j +zx^3y^2 k$. Evaluate 
\[\iint_S (\nabla \times F) \cdot n dA,\]
where $S$ is the surface defined by $x^2+y^2+z^2=1,$  $z \leq 0$. 

Multivariable Calculus Stokes' Theorem
Helena Helena
19
Report
  • Share on:
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
  • closed
  • 1353 views
  • $3.00

Related Questions

  • Find $n$ such that $\lim _{x \rightarrow \infty} \frac{1}{x} \ln (\frac{e^{x}+e^{2x}+\dots e^{nx}}{n})=9$
  • Suppose $u \in C^2(\R^n)$  is a harmonic function.  Prove that $v=|\nabla u|^2$ is subharmonic, i.e. $-\Delta v \leq 0$
  • Double Integrals, polar coordinates, Stoke's theorem, and Flow line Questions
  • Triple integral
  • Use Green’s theorem to compute $\int_C x^2 ydx − xy^2 dy$ where $C$ is the circle $x^2 + y ^2 = 4$ oriented counter-clockwise.
  • Applications of Stokes' Theorem 
  • Calculate $\iint_R (x+y)^2 e^{x-y}dx dy$ on the given region
  • Multivariable Calc: Vectors, Equations of Lines, Shapes of Curves
Home
Support
Ask
Log in
  • About
  • About Us
  • How it works
  • Review Process
  • matchmaticians
  • Privacy Policy
  • Terms of Use
  • Affiliate Program
  • Questions
  • Newest
  • Featured
  • Unanswered
  • Contact
  • Help & Support Request
  • Give Us Feedback

Get the Matchmaticians app

A button that says 'Download on the App Store', and if clicked it will lead you to the iOS App store Get Matchmaticians on Google Play
Copyright © 2019 - 2025 Matchmaticians LLC - All Rights Reserved

Search

Search Enter a search term to find results in questions