# Stokes Theorem, Curl and Positively Oriented Hemisphere

7) Use Stoke's Theorem to evaluate curl F*dS

S is the hemisphere oriented in the direction of the positive x-axis.

8) Use Stokes Theorem to evaluate

C is the boundary of the part of the plane 2x + y + 2z = 2 in the first octant.

9) Suppose that f(x,y,z)= , where g is a function of one variable such that g(2) = -5. Evaluate , where S is the sphere

Please see the attached file for the fully formatted problems.

© BrainMass Inc. brainmass.com October 9, 2019, 4:52 pm ad1c9bdddfhttps://brainmass.com/math/integrals/stokes-theorem-curl-positively-oriented-hemisphere-42947

#### Solution Summary

Stokes Theorem, Curl and Positively Oriented Hemisphere are investigated. The solution is detailed and well presented.

$2.19