Evaluate the surface integralF dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation F(x, y, z) =xz i + x j + yk S is the hemisphere x2 + y2 + z2 36, y 2 0, oriented in the direction of the positive y-axis
Show transcribed image textEvaluate the surface integralF dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation F(x, y, z) =xz i + x j + yk S is the hemisphere x2 + y2 + z2 36, y 2 0, oriented in the direction of the positive y-axis