Three main domains exist according to classification, two of these domains are characterized to contain organisms that do not have a membrane bound nucleus, in other words, their single circular genetic material (DNA) is not housed by a nucleus. Instead, the naked DNA is found localized to a central region in the cytoplasm called NUCLEOID. These domains are bacteria and archaea domains and they are termed to be PROKARYOTIC.
These domains also lack membrane bound organnelles i.e their few present organnelles are not bounded by lipid layer. Archaea and Bacteria both have cell walls but what makes up the cell wall is different in both organisms. The organism will most likely be an archaea because it portrays its characteristics being that, an archaea is a unicellular prokaryotic organism with a cell wall. It also has the ability to thrive in extremely harsh conditions like the hot thermal vent described in the question.
Based on the information provided within the question it can be said that in this scenario the trainer should recognize the vastus lateralis as needing static stretching. This is because this muscle's only task is to extend the lower leg and thus allowing the body to lift itself up from a squatting position. Which is exactly what the client is currently doing in this scenario.
Contagious diseases are spread by contact, while infectious diseases are spread by infectious agents. Something "contagious" is by default "infectious" because contact exposed you to the infectious agent, but something infectious isn't always contagious.