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Mathematics, 01.07.2019 21:40 hibah2004

)determine if the divergence theorem can be used directly to find the flux of f = r r 2 where r = x i +y j +z k through the following surfaces. s1 is the cylindrical surface of radius 4 and length 10, centered at (6, 0, 0) with its axis parallel to the z-axis, oriented away from its axis. s2 is a sphere of radius 8 centered at the origin, oriented outward. s3 is a sphere of radius 5 centered at (7, 0, 0), oriented outward. s4 is the surface (x − 3)2 + (y − 2)2 + z2 = 16 , oriented outward. s5 is the boundary of the region y2 + z2 ≤ 16, −1 ≤ x ≤ 6 , oriented outward. s6 is the boundary of the region x2 + y2 ≤ 6, 1 ≤ z ≤ 10 , ori

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