Need help identifying hoses from intake manifold area on 2002 BMW x5 3.0i

[beamer9]

I am trying to identify 2 hoses to figure out where they go after a head gasket replacement. Both are on the intake manifold side for a 2002 BMW x5 3.0i. One is on the left side of the intake boot, looks like a vacuum hose but is hard and seems molded part number was BMW 31.50-1.428.

The second hose seems like its made of similar material. Looks like a candy cane shaped black molded vacuum hose, but about 8 to 10 inches down has a small bulge, where maybe it connects to another similar sized pipe? Its very close to fuel line, and the dipstick pipe towards back corner of the intake manifold. All help will be appreciated

Thanks,

Aaron