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Radioactive decay  Wikipedia
https://en.wikipedia.org/wiki/Radioactive_decay
Radioactive decay (also known as nuclear decay, radioactivity, radioactive disintegration, ... Rutherford was the first to realize that all such elements decay in accordance with the same mathematical exponential formula. ... Differential calculus is used to model the behaviour of nuclear decay. Onedecay process ...
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Electron Cloud Model, Theory & Examples  Study.com
https://study.com/learn/lesson/electroncloudmodeltheoryexamples.html
Sep 08, 2021 · Definition of Electron. An electron is a subatomic particle, one of the three that make up atoms, and it carries a negative charge.It is also a charged lepton, because it carries a charge and has ...
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Exponential function  Wikipedia
https://en.wikipedia.org/wiki/Exponential_function
The exponential function is a mathematical function denoted by () = or (where the argument x is written as an exponent).Unless otherwise specified, the term generally refers to the positivevalued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
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Differential Equations  Definition, Formula, Types, Examples
https://www.cuemath.com/calculus/differentialequation/
Example 2: The rate of decay of the mass of a radio wave substance any time is k times its mass at that time, form the differential equation satisfied by the mass of the substance. Solution: The rate of decay of mass is dm/dt. Here dm/dt is directly proportional to m. >∴ dm/dt = mk (where k < 0) is the required differential equation.
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Intensity – The Physics Hypertextbook
https://physics.info/intensity/
Calculus is needed to combine a multitude of varying values into one integrated value. We're dealing with a periodic system here, one that repeats itself over and over again. We can choose to start our calculation at any time we wish as long as we finish one cycle later.
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What Is Calculus Used For? Real Industry Examples
https://compscicentral.com/whatiscalculususedfor/
This formula states that, whether I have a large or a small sample of radioactive matter, it will decay at a rate proportional to its size. Because of this, the decay rate actually changes as time goes on and the sample shrinks. This is why Calculus is so useful in determining the decay rate at any given time.
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Average Rate of Change Formula  Study.com
https://study.com/academy/lesson/averagerateofchangedefinitionformulaexamples.html
Apr 23, 2022 · Average Rate of Change Formula. The average rate of change formula is the same as the formula for slope.The slope of a function is often denoted by m.The following formulas find the slope, or ...
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Inverse Square Law for Radiation: Definition & Formula
https://study.com/academy/lesson/inversesquarelawforradiationdefinitionformula.html
Precalculus Tutoring; ... Radioactive Decay: Definition, Formula & Types 6:54 Types of Radioactive Decay and Their Effect on the Nucleus 8:26 Halflife ...
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Kepler's laws of planetary motion  Wikipedia
https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion
Mathematically, an ellipse can be represented by the formula: = + , where is the semilatus rectum, ε is the eccentricity of the ellipse, r is the distance from the Sun to the planet, and θ is the angle to the planet's current position from its closest approach, as seen from the Sun. So (r, θ) are polar coordinates.For an ellipse 0 < ε < 1 ; in the limiting case ε = 0, the orbit is a ...
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EXPONENTIAL GROWTH AND DECAY  Differential Equations  Calculus …
https://schoolbag.info/mathematics/barrons_ap_calculus/74.html
(5) Radioactive isotopes, such as uranium235, strontium90, iodine131, and carbon14, decay at a rate proportional to the amount still present. (6) If P is the present value of a fixed sum of money A due t years from now, where the interest is compounded continuously, then P decreases at a rate proportional to the value of the investment.
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