Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
5. Use Stokes theorem to evaluate J[V x F-ds over the surface of the paraboloid z = 5-x² - y² above the plane z = 1, where F = (y - 3z)i + (x² − 4z)j + (x + 3y) k

5. Use Stokes theorem to evaluate J[V x F-ds over the surface of the paraboloid z = 5-x² - y² above the plane z = 1, where F = (y - 3z)i + (x² − 4z)j + (x + 3y) k

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
See similar textbooks
icon
Related questions
Question

Please answer no 5 only, thanks.

4. Evaluate √3x³e³dz +2r³ye dy where the open curve C is the semicircle x² + y² = 5, y 0 going in counterclockwise direction. 5. Use Stokes theorem to evaluate 1/₁ V x F. dS over the surface of the paraboloid z = 5 - x² - y² above the plane z = 1, where F = = (y − 3z) i + (x² − 4z)j + (x + 3y) k Hint: Stokes' theorem ffsVX FdS=fFdR. What is C in this case?
Transcribed Image Text:4. Evaluate √3x³e³dz +2r³ye dy where the open curve C is the semicircle x² + y² = 5, y 0 going in counterclockwise direction. 5. Use Stokes theorem to evaluate 1/₁ V x F. dS over the surface of the paraboloid z = 5 - x² - y² above the plane z = 1, where F = = (y − 3z) i + (x² − 4z)j + (x + 3y) k Hint: Stokes' theorem ffsVX FdS=fFdR. What is C in this case?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
SEE MORE TEXTBOOKS