Parameterize an intersection between a cylinder and plane z=0

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SUMMARY

The discussion centers on parameterizing the intersection between a cylinder and the plane defined by z=0. Participants clarify the direction of rotation in their equations, with one user mistakenly using 'sen' instead of 'sin' due to language differences. The correct interpretation of the equations is crucial for accurately representing the clockwise rotation of the cylinder. The conversation emphasizes the importance of precise terminology in mathematical discussions.

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  • Understanding of parameterization in calculus
  • Familiarity with cylindrical coordinates
  • Knowledge of trigonometric functions, specifically sine and its notation
  • Basic concepts of integrals in multivariable calculus
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  • Study parameterization techniques for curves and surfaces
  • Learn about cylindrical coordinates and their applications
  • Review trigonometric functions and their notations in different languages
  • Explore integral calculus in the context of multivariable functions
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Students and educators in mathematics, particularly those focusing on calculus and geometry, as well as anyone involved in mathematical modeling involving cylindrical shapes.

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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