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Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to classmates or your faculty member.
Due Thursday, July 11, by 11:59 pm, MST, (AZ time)
This week, we learn about limits and continuity.
Respond to the following in a minimum of 175 words:
Provide two examples of everyday situations that can be better understood by using limits as their mathematical representation.
What would you expect to learn by applying these concepts to your selected situations?
1st classmate:
Macon Warfel
Class,
Believe it or not, limits are a huge part of your everyday life. Derivatives and integrals are limits, and the real-world applications of derivatives and integrals can be found in pretty much any and every field that utilizes mathematics in some regard. For example, you can use limits to model population growth. Not even just for human. You can use limits to figure out how many fruit flies are present in a jug of milk after a certain period of time. Growth of these fruit flies will be determined by the living space and food supply. So if they have a large living space and an ample amount of food, the amount of fruit flies could be infinite. However, if the living space and food supply is limited, the amount of fruit flies after a period of time will be less. And then on the other end, if the space is small and there is no food supple, the number will be low or even zero after a certain amount of days because the present fruit flies will die without space or food.
2nd classmate:
Cynthia Bervig
When we talk about the limit of a function at a point, we sometimes think of it as the function value at that point, or the height of the function at that point. That may be true in some cases, but it isn’t necessarily the case all the time. The limit of a function at a point is more accurately described as the intended height of the function at that point. The function may or may not reach that height. This idea is conveyed in a fun way in the video, Calculus – the limit of a function.
What would cause a function to not reach its intended height?
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