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(1 point) This problem will illustrate the divergence theorem by computing the outward flux of the vector field F(x, y, z) -
Then (mind the orientation) 302 Finds θσ, at Х X θση ot ds dt as So%*%(0) [*]* Flos) ( Il flow). (t θση θσι + 803 ot Х 803 a
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Answer #1

F(x, y, z) = 2 x1 + 5 y j + 32 k. -3<x< 6 -Iky <3 -45255 div E 2 (2x)+ a (54) + +2 (32) 2 22 ar 2.1+ 5.1+ 3.1 = 10 gy dio f BSchedule your appointmel 360 (2) USJdive du= 360 (9) 3940 Now we want to calculate Affie fonds 10 11Schedule your Appointments, Events and Important Dates SINCE 199 Saturday H M دله 11 N 12 ds outwaad wrat Nbo mal 1 X=-3 소 2on x=-3 3 5 8 fimos (ar î+ 5y9+3zk).(-a) dzdy 9 si y=-12=-4 10 = S- dx dz dy s 3 11 ff €2)(-3).dedya dzdy 12 y=-124 3 1 9 = 2your Appointments, Events and Important Dates Schedule on y = -1 ê ñ ds = $ dada 65 9 f ff (ac+s4j+326) 69 H-Sy d2 dx = - -56Schedule your Appointments, Events and Important Dates =12 (42 dae 8 Jh3 9 48 +6+32 = 48 X 9 = 432 6 B F.nds 32 dyda g= 3 y=-

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