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Check the divergence theorem for the vector function A = s2 Sin⁡[φ]s^ + 2s2 Cos⁡[φ]φ^ + 3szSin⁡[φ]z^ (cylindrical coordinates) using the volume of a half-cylinder as shown in the figure. The base of the half cylinder is in the x−y plane (z = 0) and the vertical plane is in the x−z plane (y = 0). The radius of the cylinder is R and the height is L.

Check the divergence theorem for the vector function A = s2 Sin⁡[φ]s^ + 2s2 Cos⁡[φ]φ^ + 3szSin⁡[φ]z^ (cylindrical coordinates) using the volume of a half-cylinder as shown in the figure. The base of the half cylinder is in the x−y plane (z = 0) and the vertical plane is in the x−z plane (y = 0). The radius of the cylinder is R and the height is L.

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  1. Check the divergence theorem for the vector function A = s 2 Sin ⁡ [ φ ] s ^ + 2 s 2 Cos ⁡ [ φ ] φ ^ + 3 s z Sin ⁡ [ φ ] z ^ (cylindrical coordinates) using the volume of a half-cylinder as shown in the figure. The base of the half cylinder is in the x − y plane ( z = 0 ) and the vertical plane is in the x − z plane ( y = 0 ) . The radius of the cylinder is R and the height is L .

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