nt) Compute the flux of the vector field F = 5xi + 5yj through the surface S, which is the part of the surface z = 9(²+ y2) above the disk of radius 3 centered at the origin, oriented upward. flux =
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- 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 =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 =Find the curl of the vector field u = a) b) ▼xu =( V. (V x u) = = (7xyz², 6x² y³, 2x³ y³ z4 ).
- 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 =Compute the flux of the vector field F = xi + yj + zk through the surface S, which is a closed cylinder of radius 4, centered on the y-axis, with -2 < y< 2, and oriented outward. flux =Compute the flux of the vector field F = 4xỉ + 4y] through the surface S, which is the part of the surface z = 4 − (x² + y²) above the disk of radius 2 centered at the origin, oriented upward. flux =
- Compute the flux of the vector field = yi + 53 − xzk through the surface S, which is the surface y = x² + z², with x² + z² ≤ 1, oriented in the positive y-direction. flux =How do I find the flux of this vector field in the image attached?Calculate the flux of the vector field F(x, y, z) = (4x+8) through a disk of radius 6 centered at the origin in the yz-plane, oriented in the negative x-direction. Flux=
- Compute the flux of the vector field F = xi + yj + zk through the surface S, which is a closed cylinder of radius 1, centered on the x-axis, with -3 < x < 3, and oriented outward. flux =Compute the flux of the vector field F = 5yi +37-5xzk through the surface S, which is the surface y = x² + 2², with x² + 2² ≤ 1, oriented in the positive y-direction. flux = You can get a hint after 2 incorrect answers.Find the work done by the vector field (5x + yx, x² + 3 ) or the boundary of the rectangle 0 < x< 3,0 < y < 6|in the counterclockwise direction. a particle moving along (The force is measured in newtons, length in meters, work in joules=(newton-meters).) W = joules