Stokes' Theorem Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Verify Stokes' theorem for the vector function and the surface where is the triangular region of the plane in the first octant.

(2) Verify Stokes' theorem for the vector function and the surface where is the portion of the paraboloid and above the -plane.

(3) Use Stokes' theorem to evaluate the line integral where is the circle in the plane counterclockwise when viewed from above the origin.

(4) Use Stokes' theorem to evaluate the line integral where is the intersection of the plane and the surface traversed counterclockwise as viewed from above the origin.

(5) Use Stokes' theorem to evaluate the line integral where and is the boundary of the triangular region with vertices and traversed counterclockwise as viewed from above the origin.   

(6) Use Stokes' theorem to evaluate where and is the part of the cube and except for the face where

(7) Use Stokes' theorem to evaluate where and is the part of the plane inside the cylinder

(8) Use Stokes' theorem to evaluate where and is the part of the cone that lies above the inner loop of the limacon   

• print this page
• pages linking here
• related pages

Cite this as:
Stokes Theorem Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/stokes-theorem-homework.html