in any way connected to a common speed limit? Are the limits you\'ve calculated
ID: 3283608 • Letter: I
Question
in any way connected to a common speed limit? Are the limits you've calculated and analyzed in your text in any way real? Have you ever needed a limit in real life? Are all limits determined algebraically?Work on these questions collaboratively with each of you trying a small piece or commenting on another's submission. After a group of your choosing has completed the task, all persons in the group should submit a common document with all participants clearly identified.
Extra credit will be awarded to the person who begins the conversation with a small contribution or the most valuable participant in the group. Your submission could look much like an email thread with an evolving, problem solving conversation.
Give answer in 3 to 5 sentences and more info if possible
Is it real? Submit Assignment Due Friday by 11:59pm Points 30 Submitting a text entry box or a file upload Is the mathematical limit you've been studying in any way connected to a common speed limit? Are the limits you've calculated and analyzed in your text in any way real? Have you ever needed a limit in real life? Are all limits determined algebraically? Work on these questions collaboratively with each of you trying a small piece or commenting on another's submission. After a group of your choosing has completed the task, all persons in the group should submit a common document with all participants clearly identified. Extra credit will be awarded to the person who begins the conversation with a small contribution or the most valuable participant in the group. Your submission could look much like an email thread with an evolving, problem solving conversation
Explanation / Answer
Yes, we need a limit in real life but are all limits are not determined algebraically. We shouldn't view limits as a tool to solve problems. Instead,we should view limits as a way to describe situations. The derivative is a perfect example of this.
Limits are used as real life approximations to calculating derivatives. It is very difficult to calculate a derivative of complicated motions in real life situations. So calculate the derivative of the function by having smaller and smaller spacing int he function sample intervals.
For example, suppose we have a biased coin and we want to know how often we will get heads when we flip this coin. We know that if we flip the coin many times we will be able to approximate the probability of heads with some degree of confidence. Furthermore, we know that the larger the number of times you flip, the more confident we can be and we know that if we flip enough times we can be as confident as we want. This is a scenario that would make a lot of sense to describe using limits.
For another example, when desigining the engine of a new car for speed an engineer may model the gasoline with small intervals through the car's engine. For this situation we used geometry to get exactly with simple functions such as polynomials these approximations always use limits.
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