Q: Does "center" have the same meaning in the following two sentences?

It is a center's responsibility to get the football to the quarterback.

His stories made him the center of the party.

OPTIONS:
- different meanings
- the same meaning

A: different meanings

Q: Does "stimulate" have the same meaning in the following two sentences?

Stimulate my appetite.

This play stimulates.

OPTIONS:
- different meanings
- the same meaning

A: different meanings

Q: Does "baby" have the same meaning in the following two sentences?

Stop being a baby!

Stand up for yourself -- don't be such a baby!

OPTIONS:
- different meanings
- the same meaning

A:
the same meaning