Use the divergence theorem to evaluate the integral i = z z ∂w f · ds when f(x, y, z) = y i − 4yz j + 3z 2 k and ∂w is the boundary of the solid w enclosed by the upper half of the sphere

By the divergence theorem,

I'll assume a sphere of radius centered at the origin, and that is bounded below by the plane . Convert to spherical coordinates, taking

Then

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1