Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [applications]

The [application] tag is meant for questions about applications of mathematical concepts and theorems to a more practical use (e.g. real world usage, less-abstract mathematics, etc.)

Mathematics often tries to abstract concepts and ideas, as it makes proofs somewhat easier. Questions in this tag are questions about the reverse process of taking abstract notions and theorems and applying them to specific cases.

1482 questions
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Displacement x of a system

Displacement x of a system satisfies $$ 3\ddot{x}+8\dot{x}+5x=43+2y-7\dot{y} $$ where $y=4\cos(t)$. If $x=0=$ $\dot{x}$ at $t=0$, find $x $and describe the motion that occurs at large times. Thanks for all the help!
Samad Miah
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Mixing chemicals in ratios

I am trying to figure out a mixing problem and I'm stuck because it seems to have two levels. I'm going to write a simpler form here of the problem I am working on. Say that we have 60 pounds of a substance that contains 25% A, 30% B and 40% C. …
nonremovable
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Uniform acceleration (easy question)

Two stunt drivers drive their cars along a straight horizontal road. The first car is travelling at $30$ m/s and is followed by the second car, $16$ m behind it, both cars are travelling with equal speeds. At an instant the driver of the first car…
Philip O'Neill
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Objects falling.

A small ball is released from rest and falls on a horizontal platform which is descending vertically at a constant speed of 7m/s, If the ball is 14 m above the platform at the instant of release, clculate the time that elapses before the ball hits…
Philip O'Neill
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Is 30/- of petrol plus 70/- equals 100/- of petrol.

Is 30/- of petrol plus 70/- equals 100/- of petrol.The worker at petrol pump filled me 30/- of petrol,then I said I wanted 100/- of petrol.Then he said,"Oh sorry!Let me fill 70/- of petrol".Is that equals to 100/- of petrol.Am I being thugged or its…
Javasamurai
  • 101
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Show that there exist a bijection between $ℤ$ and $A$

Let $A$ be the set of points of the form $(s,0)$ (the second component is still zero) where $s∈B⊂ℝ$ and $B$ is an infinite discrete set. My question: Show that there exist a bijection between $ℤ$ and $A$.
DER
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Does all mathematical formulas and proofs have a real world application?

although I only have a minor expertise myself, I've always been fascinated by great thinkers (mostly in the mathematical and technical sciences) and I was wondering if you could help me answer a question. I've just watched the movie "The man who…
user361608
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The roots of $x^4+4x^3+5x^2+2x+2=0$ one root being $-1+i$ are

The roots of $x^4+4x^3+5x^2+2x+2=0$, one root being $-1+i$ are what? please solve this problem, i need the process of solution
user250822
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