Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.
They are incredibly different acceleration patterns. Exponential growth is unbounded, whereas exponential decay is bounded so as to form a "dynamic equilibrium." This is why exponential decay is so typical of natural processes. To see work I have done in explaining exponential decay, go to the page included in the related links.
Exponential growth goes infinitely up. Exponential decay goes infinitely over always getting closer to the x axis but never reaching it. ADDED: An exponential decay trace's flat-looking region has its own special name: an "asymptote".
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
If the exponent has the variable of time in it, then it will be either exponential growth (such as compound interest for example), or exponential decay (such as radioactive materials, or a capacitor discharging). If the time constant (coefficient of the time variable) is positive then it is growth, if the time constant is negative, then it is decay.
Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
That all depends on the problem given!A general form of the exponential growth/decay is:y = ab^x.If we have an exponential growth, b = 1 + rOtherwise, b = 1 - r.In the second version, the exponential growth is y = Ae^(kt) while the exponential decay is y = Ae^(-kt)
Exponential Decay. hope this will help :)
They are incredibly different acceleration patterns. Exponential growth is unbounded, whereas exponential decay is bounded so as to form a "dynamic equilibrium." This is why exponential decay is so typical of natural processes. To see work I have done in explaining exponential decay, go to the page included in the related links.
Reverend Thomas Malthus developed the concept of Exponential Growth (another name for this is Malthusian growth model.) However the mathematical Exponent function was already know, but not applied to population growth and growth constraints. Exponential Decay is a natural extension of Exponential Growth
Exponential growth goes infinitely up. Exponential decay goes infinitely over always getting closer to the x axis but never reaching it. ADDED: An exponential decay trace's flat-looking region has its own special name: an "asymptote".
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
Time!
That would be an exponential decay curve or negative growth curve.
If the exponent has the variable of time in it, then it will be either exponential growth (such as compound interest for example), or exponential decay (such as radioactive materials, or a capacitor discharging). If the time constant (coefficient of the time variable) is positive then it is growth, if the time constant is negative, then it is decay.
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