Let S be the cylinder x² + y² =a²2, 0≤zsh, together with its top, x² + y² sa², z = h. Let F = -7yi + 7xj + 7x²k. Use Stokes' Theorem to find the flux of VXF through S in the direction away from the interior of the cylinder.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
icon
Related questions
Question
Let S be the cylinder x² + y² = a², 0≤zsh, together with its top, x² + y² ≤a², z = h. Let F = -7yi + 7xj + 7x²k. Use Stokes' Theorem to find the flux of VxF through S in the direction away from the interior of the
cylinder.
The flux of VXF outward through S is.
(Type an exact answer, using as needed.)
C
Transcribed Image Text:Let S be the cylinder x² + y² = a², 0≤zsh, together with its top, x² + y² ≤a², z = h. Let F = -7yi + 7xj + 7x²k. Use Stokes' Theorem to find the flux of VxF through S in the direction away from the interior of the cylinder. The flux of VXF outward through S is. (Type an exact answer, using as needed.) C
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage