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How are exponential growth patterns similar to and different from linear growth patterns?
They are similar because the population increases over time in both cases, and also because you are using a mathematical model for a real-world process.
They are different because exponential growth can get dramatically big and bigger after a fairly short time. Linear growth keeps going up the same amount each time.
Exponential growth goes up by more each time, depending on what the amount (population) is at that time. Linear growth can start off bigger than exponential growth, but exponential growth will always win out.
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What is the difference exponential growth and decay?
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.
Differentiate a logistic growth pattern from an exponential growth pattern?
Exponential functions increase for all values of x, Logistic growth patterns appear to increase exponentially however they eventually platou out on a maximum y value
What is a growth factor in exponential growth?
implementation of exponential groth
How are the graphs of exponential growth and exponential decay functions different?
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".
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.
What is the difference exponential growth and decay?
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.
What the different between exponential growth and logistic growth?
look in your textbook
Differentiate a logistic growth pattern from an exponential growth pattern?
Exponential functions increase for all values of x, Logistic growth patterns appear to increase exponentially however they eventually platou out on a maximum y value
What are the three different growth patterns of bacteria?
The three different growth patterns of bacteria are exponential growth, lag phase, and stationary phase. Exponential growth is the rapid phase of growth where bacteria multiply quickly. Lag phase is a period of adaptation where bacteria prepare to divide. Stationary phase is when growth slows down due to limited resources or build-up of waste products.
What is a growth factor in exponential growth?
implementation of exponential groth
What are the 3 growth patterns of bacteria?
The three growth patterns of bacteria are exponential growth, stationary phase, and death phase. Exponential growth is when bacteria multiply rapidly, stationary phase is when growth rate equals death rate, and death phase is when bacteria start dying off due to nutrient depletion or waste accumulation.
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.
How are the graphs of exponential growth and exponential decay functions different?
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".
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.
