Set up a double integral for calculating the flux of F⃗ =4xi⃗ +yj⃗ +zk⃗ through the part of the surface z=−5x−5y+4 which lies above the triangle in the xy-plane with vertices (0,0), (0,2), and (2,0), oriented upward. Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy in each box. Then, enter the limits of integration and evaluate the integral to find the flux.
Flux = ∫BA∫DC
A =
B =
C =
D =
Flux = ∬SF⃗ ⋅dS⃗ =
Set up a double integral for calculating the flux of F⃗ =4xi⃗ +yj⃗ +zk⃗ through the part of the surface z=−5x−5y+4 which lies above the triangle in the xy-plane with vertices (0,0), (0,2), and (2,0),...
(1 point) Set up a double integral for calculating the flux of F -4xi + yj + zk through the part of the surface z =-2x-4y + 4 above the triangle in the xy-plane with vertices (0,0), (0,4), and (2,0), oriented upward. Instructions: Please enter the integrand in the first answer box. Depending on the order of integration you choose, enter dx and dy in either order into the second and third answer boxes with only one dx or dy...
(1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate the flux integral of the vector field F 2i + j + 3k across the surface S (with N being the unit upward vector normal to the plane). B.I 48 C. I 72 E. 1 24 (1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate...