Use the Divergence Theorem to evaluate [/F. F. N dS and find the outward flux of ♬ through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = x³ + x²yj + x²e/k S: z = 4-y, z = 0, x=0, x= 3, y = 0

+25y²,0, 10- through the surface 3 Find the outward flux of F = =1.

Find curl(F x G) = V × (F × G). F(x, y, z) = i + 8xj + 4yk G(x, y, z) = xi - yj + zk

Suppose F(x, y) = (x² + 3y, 7x − 7y²). Use Green's Theorem to calculate the circulation of F around the perimeter of the triangle C oriented counter-clockwise with vertices (6, 0), (0, 3), and (-6, 0). Jo F. dr =