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7. [-l1 Points] DETAILS SCALCET816.9.017. I MY NOTES I I ASK YOUR TEACHER Use the Divergence Theorem to evaluate ff F - (15, where F(x,
7. [-l1 Points] DETAILS SCALCET816.9.017. I MY NOTES I I ASK YOUR TEACHER Use the Divergence Theorem to evaluate ff F - (15, where F(x, y, z) = zlxi + (g + cos )j + (x2: + y2)k and Sis the top half of the sphere x2 + y2 + z2 = 4. (Hint: Note thatS is not a 5 closed surface. First compute integrals over 51 and 52, where 51 is the disk X2 + y2 S 4, oriented downward, and 52 = 51 U S.) Need Help? _ _ Submit
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