Parameterize an intersection between a cylinder and plane z=0

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Homework Help Overview

The discussion revolves around parameterizing the intersection between a cylinder and the plane defined by z=0. Participants are examining the orientation of the parameterization and the use of trigonometric functions in their equations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the direction of rotation indicated by the parameterization, specifically whether it is clockwise or counterclockwise. There are also discussions about the correct terminology for trigonometric functions in different languages.

Discussion Status

There appears to be an ongoing exploration of the parameterization details, with some participants clarifying their understanding of the orientation and terminology. While there is acknowledgment of confusion, no explicit consensus has been reached regarding the parameterization itself.

Contextual Notes

Participants are navigating language differences in mathematical terminology, which may affect their communication of concepts. There is also mention of integrating values, suggesting a focus on the mathematical setup of the problem.

xodaaaaax
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Homework Statement
Help with parameterize the intersection as shown in the figure
Relevant Equations
x^2+y^2=4 and z=0
Screenshot_1.png


Attempt.jpg
 
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You say that you are going clockwise, but your arrows and equations look counterclockwise.
Other than that, it looks ok to me. Shouldn't all those 'sen's be 'sin's?
 
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FactChecker said:
You say that you are going clockwise, but your arrows and equations look counterclockwise.
Other than that, it looks ok to me. Shouldn't all those 'sen's be 'sin's?
Oh my bad i was copying my notes into that picture so that it would be easier to understand them and messed up those arrows, yes they should be going clockwise. anyways, i type "sen" because i speak spanish, sorry about that.

So those are the values i should substitute in that integral?
 
Your y(t) equation will make it go around counterclockwise.
 
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FactChecker said:
Your y(t) equation will make it go around counterclockwise.
I think i get it now, thank you so much
 
xodaaaaax said:
anyways, i type "sen" because i speak spanish
... and "sin" en español means "without".
 

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