Use the Divergence Theorem to calculate the flux of the vector fields F⃗ 1=−5zi⃗ +5xk⃗ and F⃗ 2=−5zi⃗ +(8y+3)j⃗ +5xk⃗ through the surface S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically. With W giving the interior of the sphere,
∫SF⃗ 1⋅dA⃗ =∫W
dV=

and
∫SF⃗ 2⋅dA⃗ =∫W
dV=

здрасти

step-by-step explanation:

what the question so we can you out

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

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step-by-step explanation: