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(Solved): Not sure how to approach this problem, I appreciate any help in advance.
Jse the extended divergenc ...
Not sure how to approach this problem, I appreciate any help in advance.
Jse the extended divergence theorem to compute the total flux of the vector field \[ \vec{F}(x, y, z)=\left\langle-3 x^{2}+3 x z-y, 7 y^{3}-6 y, 9 x^{2}+4 z^{2}-3 x\right\rangle \] outward from the region \( F \) that lies inside the sphere \( x^{2}+y^{2}+z^{2}=25 \) and outside the solid cylinder \( x^{2}+y^{2}=4 \) with top at \( z=1 \) and bottom at \( z=-1 \).