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(Solved): Find the surface integral of the field \( F(x, y, z)=9 y i-9 x j+k \) across the portion of the sph ...
Find the surface integral of the field \( F(x, y, z)=9 y i-9 x j+k \) across the portion of the sphere \( x^{2}+y^{2}+z^{2}=a^{2} \) in the first octant in the direction away from the origin.
Expert Answer
We have given that: f(x,y,z)=9yi?9xj+k and sphere x2+y2+z2=a2 here we have to find the surface integral of F across the portion of the sphere in the f