Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F=2yi+(5-5x)j +(z² - 2)k S: r(,0)=(√6 sin pcos 0)i + (√6 sino sin 0)j + (√6 cos ) k, 0≤0≤x/2, 0≤0 ≤2 The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is (Type an exact answer, using as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
icon
Related questions
Question
Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin.
F = 2yi+(5-5x)j + (z² - 2)k
S: r(0,0)=(√6 sin cos 0)i + (√6 sin o sin 0)j + (√6 cos ) k, 0≤ ≤π/2, 0≤0 ≤2
The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is
(Type an exact answer, using as needed.)
Transcribed Image Text:Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F = 2yi+(5-5x)j + (z² - 2)k S: r(0,0)=(√6 sin cos 0)i + (√6 sin o sin 0)j + (√6 cos ) k, 0≤ ≤π/2, 0≤0 ≤2 The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is (Type an exact answer, using as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,