Space Curve


 (1) Write a short essay on this topic, using examples: Why is it that we need to consider reparametrizations of a curve?

Why have we chosen arclength as the “correct” parametrization?

What is arclength, and how do we go about using it?

How practical is reparametrization by arclength? 

(2) Reparametrize the curve below by arclength: α(t) = (e ^t cos(t), e^t sin(t), e^t  )


Describe a situation where you believe using a SWOT analysis would be useful. 

Explain how you would roll it out.

SWOT is an acronym that stands for Strengths, Weaknesses, Opportunities and Threats.


 Write a short essay that describes two different interpretations of the curvature κ of a space curve. Be sure to include as one of your descriptions a discussion of what κ means in terms of the motion of the Frenet-Serret framing of the curve. 

Need help with this assignment or a similar one? Place your order and leave the rest to our experts!

Quality Assured!

Always on Time

Done from Scratch.