(16-2) k,Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 2zi + 2xj + 3yk across the surface S: r(r,0) = r cos Oi +r sin 0j +0

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Answered: Use the surface integral in Stokes'…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.FOM: Focus On Modeling: Vectors Fields

Problem 12P

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Similar questions

Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F=x2yi+3y3zj+zk across the surface S: r(r,θ)=r cos θi+r sin θj+rk, 0≤r≤1, 0≤θ≤2π in the direction with a positive k-component for n.
Find the counterclockwise circulation and the outward flux of the field F = (-sin y)i + (x cos y)j around and over the square cut from the first quadrant by the lines x = pai/2 and y = pai/2.
use the curl integral in Stokes’ Theorem to find the circulation of the field F around the curve C in the indicated direction. Circulation around an ellipse F = y2 i - y j + 3z2 k C: The ellipse in which the plane 2x + 6y - 3z = 6 meets the cylinder x2 + y2 = 1, counterclockwise as viewed from above.
Find the flux of the fields F1 = 2x i - 3y j and F2 = 2x i + (x - y)j across the circle r(t) = (a cos t)i + (a sin t)j, 0<= t <=2pai.
Find the flux of the fields F1 = 2x i - 3y j and F2 = 2x i + (x - y)j across the circle r(t) = (a cos t)i + (a sin t)j, 0 ≤ t ≤ 2π.
use the surface integral in Stokes’ Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F = x2y3i + j + zk C: The intersection of the cylinder x2 + y2 = 4 and the hemisphere x2 + y2 + z2 = 16, z>=0, counterclockwise when viewed from above.
use the surface integral in Stokes’ Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F = x2i + 2xj + z2k C: The ellipse 4x2 + y2 = 4 in the xy-plane, counterclockwise when viewed from above

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