Yes. Continuous means from some start to some end without break:
The water flowed continuously over the dam.
whereas continual means occurring repeatedly at intervals over a time span:
I continually lose at poker.
I should also mention that continual is often substituted for continuous, and would be correct in most contexts, however the converse is not generally true. That is to say,
The water flowed continually over the dam.
is okay, but you would (hopefully) not mean
I continuously lose at poker.
since that would imply that all you do all day long is play poker and lose.
I take Barrie's point that plausibility is primarily concerned with appearance rather than actuality. But I think there's a limit to how far one can take such strictly literal interpretations.
In most contexts, probable/possible mean likely/unlikely, but whereas the corresponding negated form improbable means not likely, impossible doesn't mean not unlikely - it means definitely not.
By the same token, convincing/plausible usually mean very believable/just about believable. I'm aware some people use plausible to mean convincing, but I think most people need something very/totally plausible to actually be convinced.
As John Lawler often reminds us, negatives [are] probably the most complex portion of English semantics and the weirdest part of its syntax.
And as Cerberus points out here, [probability] is a complicated issue [in the context of linguistics].
In my version of English, if something is implausible, it's unlikely, but at least feasible. But if it's totally implausible, it has no element of plausibility/feasibility whatsoever, and I personally do not distinguish that from impossible.
Best Answer
They each have multiple meanings, with some overlap. The word "certain" even appears in some of the definitions of "definite".
And another:
But there are other uses that have different implications. For instance:
To answer your specific question about "_____ age", I think that both would be grammatically correct there but can give different interpretations if you use those last two definitions I cited above. 'Certain' gives more of an implication that you don't much care what the age is. 'Definite' gives more of an implication that you want to know the specific age.
(sources: M-W certain and definite)