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Parametric Representation

  • Thread starter joemama69
  • Start date
  • #1
399
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Homework Statement



Determine a parametric representation for the part of the sphere x2 + y2 + z2 = 4 that lies between the planes z = 1 & z = -1.

Homework Equations





The Attempt at a Solution



We never learned spherical coordinates in class so im not sure if im using this correctly.

radius = 2,

x = 2sin([tex]\phi[/tex])cos([tex]\theta[/tex])

y = 2cos([tex]\phi[/tex])sin([tex]\theta[/tex])

z = 2cos([tex]\phi[/tex]) where -1 [tex]\leq[/tex] z [tex]\leq[/tex] 1
 

Answers and Replies

  • #3
399
0
oops thats a typo, should y be


y = 2sin[tex]\phi[/tex]sin[tex]\theta[/tex]
 

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