Question

Find the outward flux of F=32xi+y2j−2yzk across the boundary of D, where D is the region...

Find the outward flux of F=32xi+y2j−2yzk across the boundary of D, where D is the region cut from the first octant (where x≥0,y≥0,z≥0) by the sphere x2+y2+z2=9 (so the shape is 18-th of a sphere).

(Recall that the volume of a sphere is 43πr3.)

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