She was sedately staring at me. She was sedately walking in the street. The other is not. When you solve mathematics problems, you should do the math carefully.
You seem to be thinking of "sedate" as more or less a synonym of "calm". It is, kind of, but (as Mr. M. said) it's rarely used as what I'll call a "temporary" adjective or adverb (e.g. I need to be sedate to do y or She did y sedately). It is used more often as a "permanent" adjective or adverb (e.g. Sloths, as many of us know, are quite sedate by nature or As a s