Math is the science of abstracting a complex reality to a simple system. Many events that occur in nature (motion of objects, behavior of chemical reactions, electric current) are effectively modeled by mathematical formulas. Knowing how to manipulate and solve these formulas is essential to solving the actual problems that these formulas are modeling.
All of those things require you to be able to solve equations from the basics to very advanced. Mathematics is the branch of education in which you learn those things.
Yes.
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
There is no need to expertise in Physics for a computer engineering student.
nothing and everything
Not necessarily.
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
yes
For Physics and Engineering yes, but not so much for Chemistry.
computer science engineering
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.
you wont always fail