- #1
intenzxboi
- 98
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Homework Statement
Determine the period in which y = Cekt changes by a
factor of q.
I have no idea what it is asking.. find t when k=q?
I'm afraid that my browser cannot render the special character that you have typed (the coefficient of T).intenzxboi said:y(t + T) = C ek^(t+T) = C e^kt+kT = C e^kt · e^kT = e^kT y(t).
so q= e^kT ??
intenzxboi said:I'm sorry huh?
Yes, now solve for T.intenzxboi said:y(t + T) = C ek^(t+T) = C e^kt+kT = C e^kt · e^kT = e^kT y(t).
so q= e^kT ??
Thanks Halls. For some reason I was getting special characters inside intenzxboi's expressions.HallsofIvy said:Yes, now solve for T.
Exponential growth is a type of population growth in which the growth rate is proportional to the current size of the population. This means that the population grows at an increasing rate over time.
The formula for determining t when k=q in exponential growth is t = ln(q)/k, where t is the time, q is the final population size, and k is the growth rate.
Exponential growth is different from linear growth in that the growth rate in exponential growth is constantly increasing, while in linear growth, the growth rate remains constant over time.
Some real-life examples of exponential growth include the spread of diseases, the growth of bacteria in a petri dish, and the increase in population size over time.
Exponential growth is used in scientific research to model and predict population growth, as well as to study the spread of diseases and the growth of organisms in controlled environments. It is also used in fields such as economics and finance to study the growth of economies and investments.