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1. Let F be the vector field F=xi+yj+zk. Let S be the portion of the plane z=102

ID: 2853603 • Letter: 1

Question

1. Let F be the vector field F=xi+yj+zk. Let S be the portion of the plane z=102x5y in the first octant, with upward orientation. Find sFdS.

2. Let F be the vector field F=yi+xj+k. Let S be the portion of the surface y=x2 with 0x1 and 0 z 4, oriented so that the normal vectors have positive x components. Find sFdS.

3. Let F be the vector field F=xi+yj+2k. Let S1 be the disk x2+y29 in the plane z=0, with downward orientation. Let S2 be the disk x2+y29 in the plane z=5, with upward orientation. Find S1FdS1 and S2FdS2

Explanation / Answer

1. Let F be the vector field F=xi+yj+zk. Let S be the portion of the plane z=102