Learn English – ny difference between “there is no possibility to do something” and “it’s impossible to do something”

They are freely interchangeable in many everyday contexts, but there are differences in the tone of voice. "Meant to" has a more philosophical, fatalistic connotation, while "supposed to" might refer to a transgression or snafu of some sort. For example:

• Despite the best efforts of the director, the actors and the rest of the crew, the movie didn't do well- it just wasn't meant to be a blockbuster. Try substituting 'supposed to' here and it sounds way wonky.

• Despite the best efforts of the director, the actors and the rest of the crew, the movie didn't do well- it just wasn't supposed to be a blockbuster. Well, what can I say. It was supposed to be a blockbuster; unfortunately, it wasn't meant to become one.

So, my submission is, the context matters. 'Meant to' might be used in situations that can be remedied as well as in situations that can't, while 'supposed to' might be used in a situation that can possibly be reversed.

Re "How can i find out if a turn of phrase is pleasant/good/valid?", writers.stackexchange will serve if you phrase your questions properly. Per its faq, one may ask about "Non-fiction, technical, or scholarly writing" and "Copywriting", among other genres, so long as you are not asking about "strictly interpreted correctness of English grammar or syntax rules".

In the first collegially-rewritten example, "In our example we would for example" is quite clumsy. Consider instead "In our example, one can check cache statistics with an AppFabric powershell command, but use whatever tool you most like".

Re the second example, advice to prefer readily available to easily accessible seems wrong. That a phrase is frequently used carries no weight if it's the wrong phrase. The information in question evidently is readily available, and the actual problem is it isn't easy to access without knowing all about some program.