Find the flux of the vector field F = [x,y,z] through the oriented surface S: z= x^2 + y^2, z <= 1 oriented upward
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- Find the flux of the constant vector field i = - 4i - 5j-2k through a square plate of area 16 in the zy-plane oriented in the positive r-direction. flux =Calculate the flux of the vector field F = 6i + 2x²j – 2k, through the square of side 4 in the plane y = 7, centered on the y-axis, with sides parallel to the x and z axes, and oriented in the positive y-direction. flux =Find the flux of the constant vector field =-i-j+ k through a square plate of area 25 in the xy-plane oriented in the positive z- direction. flux =
- Sketch some vectors in the vector field F(x, y) = 2xi + yj.Sketch the vector field: F(x, y) = (1, 2y) Carefully draw at least four vectors in each of the four quadrants.Compute the flux of the vector field F = xi + yj through the surface S, which is the part of the surface z = 25 – (x2 + y?) above the disk of radius 5 centered at the origin, oriented upward. flux =