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Let F(x, y, z) = x ₁²+yẩy + záz be a vecter field. хакту чату a- Express F in cylindrical and spherical coordinates. b- Let S be the surface area of a spher of radins I and centered at the origin. Verify the divergence. ence thesem, ine show that S S SV - F dv V where Vis the volume enclosed by S. SSF. 15 = = S

Let F(x, y, z) = x ₁²+yẩy + záz be a vecter field. хакту чату a- Express F in cylindrical and spherical coordinates. b- Let S be the surface area of a spher of radins I and centered at the origin. Verify the divergence. ence thesem, ine show that S S SV - F dv V where Vis the volume enclosed by S. SSF. 15 = = S

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Let F(x, y, z) = x ₁² x y zy + zaz be vector field. a- Express F in Cylindrical and spherical coordinates. b- Let S be the surface area of a spher of radins I and centered at the origin. Verify the divergence thesem, ine show that SSF.d5 S S SV - F d v S V where Vis the volume enclosed by S.
Transcribed Image Text:Let F(x, y, z) = x ₁² x y zy + zaz be vector field. a- Express F in Cylindrical and spherical coordinates. b- Let S be the surface area of a spher of radins I and centered at the origin. Verify the divergence thesem, ine show that SSF.d5 S S SV - F d v S V where Vis the volume enclosed by S.
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