Problem 50. Using the Divergence theorem to find the inward flux of the vector field F(x, y, z) = 3x²y²i+yj – 6xy²zk through the boundary of the solid bounded by the paraboloid z = x² + y? and the...

Extracted text: Problem 50. Using the Divergence theorem to find the inward flux of the vector field F(x, y, z) = 3x²y²i+yj – 6xy²zk through the boundary of the solid bounded by the paraboloid z = x² + y? and the plane z = 2y. Hint: make use of cylindrical coordinates and use the formulas cos? 0 = (1+ cos 20)/2 and sin? 0 = (1 – cos 20)/2.