Question 1:

Evaluate ff 3:2 + y2 2: :18 where Sis the part of the cone 22 = $2 + 312 that lies S between the planes 2 = 1 and z = 5. A uid has density 900 kg/m3 and ows with velocity 2} = 11:75'+ y3 + 2%, where x, y, and zare measured in meters, and the components of 25 are measured in meters per second. Find the rate of ow outward through the part of the paraboloid z = 4 3:2 y2 that lies above the xy plane. ' kg/s \fFind the flux of the vector field F = (y, -z, x) across the part of the plane z = 2 + 4x + 3y above the rectangle [0, 4] x 0, 5] with upwards orientation