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
  • 1581 views
  • $3.00

Related Questions

  • Finding Binormal vector from the derivative of the Normal and Tangent.
  • Compounding interest of principal P, where a compounding withdrawal amount W get withdrawn from P before each compounding of  P.
  • Let $f(x,y,z)=(x^2\cos (yz), \sin (x^2y)-x, e^{y \sin z})$. Compute the derivative matrix $Df$.
  • Convex subset
  • Prove that $\int _0^{\infty} \frac{1}{1+x^{2n}}dx=\frac{\pi}{2n}\csc (\frac{\pi}{2n})$
  • Multivariable Calculus Problem Set
  • Use Green’s theorem to evaluate the line integral $\int_C (1+xy^2)dx-x^2ydy$ on the arc of a parabola 
  • Conservative Vector Fields
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 - 2026 Matchmaticians LLC - All Rights Reserved

Search

Search Enter a search term to find results in questions