Evaluating a Flux Integral In Exercises 25-30, find the flux of F across S,
where N is the upward unit normal
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Calculus: Early Transcendental Functions (MindTap Course List)
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- ind the flux of the following vector fields across the given surface. Assume the vectors normal to the surface point outward. F = r/ | r | across the sphere of radius a centered at the origin,where r = ⟨x, y, z⟩arrow_forwardFind the flux of the vector field F across the surface S in the indicated direction.F = x 4y i - z k; S is portion of the cone z = 3 square root of x2+y2 between z = 0 and z = 3; direction is outward a) - 1 b) - 6π c) 2π d) - 2πarrow_forwardFind the flux of the vector field F across the surface S in the indicated direction.F = 4x i + 4y j + z k; S is portion of the plane x + y + z = 4 for which 0 ≤ x ≤ 4 and 0< or equal y< or equal to3 direction is outward (away from origin) a) 174 b) - 78 c) 348 d) 150arrow_forward
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