Arc Length Formula Discussion

User Generated

ncenqrrc92

Mathematics

Description

Objectives

  • Compute the arc length of the graph of a function of a function on a closed interval
  • Derive formulas for computing arc length

Instructions

  1. Watch this video on arc length. (Links to an external site.)
  2. Reply to this discussion with your thoughts on these resources. Here are some guidelines and suggestions:
    • Your reply should aim to help you and other students gain deeper understanding of the points in the video
    • You could ask a question that came up for you when watching the video
    • You could show an example of computing the arc length of a curve
    • Can you summarize the derivation of the arc length formula?
    • What conditions must be satisfied in order to be able to use this formula? For example, if a function is discontinuous, can you compute the arc length? Explain or show an example to illustrate your point.
    • Make sure to add something to this discussion. In other words, try not to just reiterate what the article or video states.
    • Keep in mind our Netiquette guidelines

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Explanation & Answer

Attached. Please let me know if you have any questions or need revisions.

Arc Length
Make sure to add something to this discussion. In other words, try not to just reiterate what
the article or video states.
I’m not sure whether I got it wrong or the video I watched was wrong. Having gone through
the whole video, I would honestly say that I was completely unable to draw a relationship
between the arc length (which is the expected topic to be handled in the video) and the
eigenvectors and eigenvalues (which was actually discussed in the video). Every other time I
kept watching the video is when I became more confused. Honestly, I cannot draw any
conclusion between the video (https://youtu.be/PFDu9oVAE-g) and the computation of arc
length.
An arc length may be considered as a distance traversed over a given cur...


Anonymous
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