- #1
ttpp1124
- 110
- 4
- Homework Statement
- I'm not sure how to start question b.) I understand that I have the denominator powered to the square, it's function "grows faster" than the function in the numerator.
- Relevant Equations
- n/a
Does it grow? What happens to e-t as t increases?ttpp1124 said:it's function "grows faster" than the function in the numerator.
So you'll have lim t---> infinite , the function in the denominator will grow faster, so as t grows, P'(x) approaches zero. I believe another way to see this is to note that for t---> inf, P(x)---> 24, therefore reaching a constant value, with zero rate of change. My rate would be zero, right?epenguin said:I am not seeing this sign mistake and think your answer is correct. However it was unnecessary to use the full formula for derivative of u(x)/v(x) - since u is just a constant you only needed that for 1/v(x).
You are not thinking about the rest in quite the right way. What happens to e-t as t increases and as it becomes very large? Alternatively you get something that might be mere self-evident to you if you divide top and bottom of the fraction by e-t.
You are right - my mistake.epenguin said:I am not seeing this sign mistake
I refer you again to my question in post #2.ttpp1124 said:the function in the denominator will grow faster,
The rate of change of a population is the speed at which the population is growing or declining over a certain period of time. It is usually measured in terms of the number of individuals added or lost per unit of time.
The rate of change of a population can be calculated by dividing the change in population size by the change in time. This is usually expressed as a percentage or a ratio.
There are several factors that can affect the rate of change of a population, including birth rate, death rate, immigration, emigration, and natural disasters. These factors can either increase or decrease the population size and therefore impact the rate of change.
The rate of change of a population can change over time depending on various factors such as availability of resources, environmental conditions, and human interventions. It can increase, decrease, or remain constant over time.
Determining the rate of change of a population over time is important for understanding the dynamics of a population and predicting future trends. It can also help in making informed decisions about resource management, conservation efforts, and public policies related to population growth or decline.