The field F = xyi+yj - yzk is the velocity field of a flow in space. Find the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y=x² and the plane z = x. (Hint: Use t=x as the parameter.) C For F = xyi+yj - yzk, the flow from (0,0,0) to (7,49,7) along the curve of intersection of the cylinder y = x² and the plane z = x is (Simplify your answer.) Z=X (7,49,7) y=x

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 =