How do you Find the exponential growth factor?

Answer 1

I assume that the grwoth factor same as is the growth constant.

Let us look at an example.

#P(t)=P_0e^{kt}#,
where #P_0# is an initial value (#=P(0)#).
To determine #k#, there should be another clue given like its doubling-life. Let us say the doubling-life is 3 years.
#P(3)=P_0e^{k(3)}=2P_0#
by dividing by #P_0#,
#Rightarrow e^{3k}=2#

by taking the natural log,

#Rightarrow ln e^{3k}=ln2#

by simplifying a bit further,

#Rightarrow3k=ln2#

by dividing by 3,

#Rightarrow k={ln2}/3#

I hope that this was helpful.

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Answer 2

To find the exponential growth factor, you can use the formula:

[ \text{Exponential Growth Factor} = 1 + \text{Growth Rate} ]

Where the growth rate is expressed as a decimal. If the growth rate is given as a percentage, you need to convert it to a decimal by dividing by 100.

For example, if the growth rate is 5%, you would divide 5 by 100 to get 0.05. Then, you add 1 to the growth rate expressed as a decimal to find the exponential growth factor.

So, if the growth rate is 5%, the exponential growth factor would be (1 + 0.05 = 1.05).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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