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Why is exponential growth unable to continue forever in populations?
The population loses genetic diversity
What is meaning of exponent with variable?
That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).
Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
What is exponent growth?
That means that the growth is equal to, or similar to, an exponential function, which can be written (for example) as abx, for constants "a" and "b". One characteristic of exponential growth is that the function increases by the same percentage in the same time period. For example, it increases 5%, or equivalently by a factor of 1.05, every year.
Do all exponential functions show growth over time?
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.
Why is it impossible for exponentional growth to continue forever?
It is impossible for exponential growth to continue forever for a few reasons. The population will run out of food, water, and space to live.
Why is exponential growth unable to continue forever in populations?
The population loses genetic diversity
When do you use exponential functions?
There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.There are several uses for those; basically any situation where a rate of change is proportional to a quantity. The growth of a population growth under ideal conditions (with a positive exponent) and radioactive decay (with a negative exponent) are common example.
How can you tell if an exponential function is exponential growth or decay by looking at its base?
It is not enough to look at the base. This is because a^x is the same as (1/a)^-x : the key is therefore a combination of the base and the sign of the exponent.0 < base < 1, exponent < 0 : growth0 < base < 1, exponent > 0 : decaybase > 1, exponent < 0 : decaybase > 1, exponent > 0 : growth.
What is meaning of exponent with variable?
That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).
Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
Similarities of perpetual bond and no-growth common stock?
no growth in the value and pay interest forever
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
Can exponential economic growth go on forever on a finite planet?
lumps
When can growth of a population continue exponentially?
dominican day :)
Can a species undergo exponential growth forever?
No. It can't even undergo linear growth forever, because it will run out of resources or space. With exponential growth, this merely happens more suddenly. "Exponential" growth refers to doublings. It follows a pattern like this: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024,
Does saltwater affect plant growth?
Yes! Salt in water decreases a plants growth, and can even make growth impossible. This would make an interesting science experiment!
