The fact that it's required to even begin to understand fundamental theory in all of them?
Mathematics and physics are both required for computer science and computer engineering degrees; chemistry might not be, depending upon your individual school.
Accounting, Engineering(except computer engineering, software engineering and electrical engineering), Physics, Chemistry, etc
nothing and everything
Not necessarily.
Math is used to describe nature. Chemistry and physics are described by math and engineering is the application of these sciences. Computer science requires math because code writing and design of parts all require math to be proficient. If you study engineering at university you will take 2 years of calculus before you can get into pro school.
Apparently, you haven't had much exposure to Physics, Chemistry, or Engineering, have you. Yes, they all do. In increasing order of mathematical intensity, they are Chemistry Engineering Physics
For Physics and Engineering yes, but not so much for Chemistry.
yes
computer science engineering
you wont always fail
That depends on the individual
No. You can still excel or do well in physics even if you are not good at computer science and chemistry. For example, physics is one of my favorite subjects, and I am pretty good at it. I am also good in math, but have never done anything computer science-related. I dislike chemistry, but love physics. I do not know much about the engineering aspect though, sorry. I'm sure you'd be fine though.