I didn't read all your problems - way too many in one post! But I can tell you the first one is easily solved by the divergence theorem. Find and integrate inside the cube.
I need to find the surface integrals for these various questions. Some I don't know where to begin, others I don't know how to continue. Help would be appreciated
Not sure about this one
But not sure what the limits are to proceed
I'm guessing similar manner to question above, but do I get z on its own i.e. then proceed. But once again, not sure what the limits would be
Using divF = 3 then Is that right?
Need to use divergence again, but not sure how to proceed.
I could do the same as below, but not sure how to proceed
I got the curl to be i + j + k and
Not sure how to proceed
Another way to do 6 is let
Now just evaluate the line integral