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A function of a real variable defined for all real x by the sum to infinity of the (convergent) series
ex=1+x+x2/2!+x3/3!+.... The notation reflects the index property that ex×ey=ex+y. The notation 'exp(x)' is sometimes used for ex, particularly when x is a complicated algebraic expression. The number e is given by the above series with x=1, so
e=1+1+1/2!+1/3!+...≈ 2.718 28. The exponential and http://www.answers.com/topic/natural-logarithm functions are related by exp (ln x)=x for x>0 and ln (ex)=x for all values of x."
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What is cubic growth and how does it differ from exponential growth?
Cubic Growth is x^a, a being some constant, while exponential growth is a^x. Exponential growth ends up growing MUCH faster than cubic growth.
Who invented exponentail growth and exponential decay?
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
How do you tell if its exponential growth or decay?
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
Categorize the graph as linear increasing linear decreasing exponential growth or exponential decay.?
Exponential Decay. hope this will help :)
An exponential growth function represents a quantity that has a constant halving time?
That would be an exponential decay curve or negative growth curve.
What is a growth factor in exponential growth?
implementation of exponential groth
What is the origin of exponential growth?
Exponential growth does not have an origin: it occurs in various situations in nature. For example if the rate of growth in something depends on how big it is, then you have exponential growth.
What is cubic growth and how does it differ from exponential growth?
Cubic Growth is x^a, a being some constant, while exponential growth is a^x. Exponential growth ends up growing MUCH faster than cubic growth.
What are exponential growth and logistic growth?
Exponential Growth: occurs when the individuals in a population reproduce at a constant rate.Logistic Growth: occurs when a population's growth slows or stops following a period of exponential growth around a carrying capacity.
When individuals in a population reproduce at a constant rate it is called?
When individuals in a population reproduce at a constant rate, it is called an exponential growth. Populations generally experience this growth under ideal conditions.
What is the difference between exponential growth and decay?
Exponential growth is when the amount of something is increasing, and exponential decay is when the amount of something is decreasing.
Who invented exponentail growth and exponential decay?
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
When can exponential growth?
when there is no competition When there are unlimited resources- Apex Exponential growth can happen anytime when the rate of the growth is increasing along with an increase in growth.
How can you use the word exponential growth in a sentence?
the exponential growth of cows are increasing because of reproductin.....
What is a population in which exponential growth is limited by a density dependent factor?
the answer must be exponential growth model.
are dogs exponential growth or logistic growth?
Logistics growth as exponential only uses scientific examples to prove a study
Logarithmic growth is known as what?
Exponential growth
