Question

Evaluate the surface integral

Evaluate the surface integral

S

F · 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) = x i + y j + 9 k

S is the boundary of the region enclosed by the cylinder

x² + z² = 1

and the planes

y = 0 and x + y = 8

F · 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) = x i + y j + 9 k

S is the boundary of the region enclosed by the cylinder

x² + z² = 1

and the planes

y = 0 and x + y = 8

Answer 1