Question

Let F(x,y,z) = xyi + 6xzj + (1 + e^z^2)k. Evaluate integral Fxdr along the positively oriented boundary C of the part of the plane 3x + y + 3z = 3 that lies in the first octant.

Answer 1

Fxdr is the dot product of F and dr

Answer 2

Not understanding the problem. You need to throw in more clues and explanations from your note. The dot of <xy, 6xz, 1+e^(z^2)>dot d<i,j,k> can be done. Exactly what is the boundary C, that would be bounds of integration.

Answer 3

the boundary is the part of the plane 3x + y + 3z = 3 that lies in the first octant.