*calculus 3* Parametrize the following surfaces
100x^2 + 225y^2 + 36^2 - 900 = 0
AND
x^2 - y^2 - z^2 - 1 = 0

Question

*calculus 3* Parametrize the following surfaces
100x^2 + 225y^2 + 36^2 - 900 = 0
AND 
x^2 - y^2 - z^2 - 1 = 0

irishboy123 · Answer

is the first one right?  looks like a simple circle with a "funny" radius.  i.e. negative radius.

the 2nd one -- take out the z and how would you param that in straight polar?  you'll need to do the same in spherical in 3-D.

hope that helps.

anonymous · Answer

Yeah the first one is actually a sphere (or maybe an ellipsoid)
The 2nd one i don't really understand what you mean by "take out the z" and im still not sure how you'd solve it.

irishboy123 · Answer

second one: i'm trying to tell him its a simple sphere.  just as it is a very simple circle in R2.

the first one is wrong.  i suspect 36^2 is a typo.

anonymous · Answer

oh yeah sorry about the first, its actually 36z^2 and oh ok got it :)

irishboy123 · Answer

aha!; 36z^2.  make sense now.

and sorry. by "him" in my last post, i meant you!  i hadn't connected that you were the OP.  my apologies.

are you good to go now or do you need any input? assume you know there are online plotters that will give you a great steer in terms of visualising these surface? really useful when you are doing surface integrals.

anonymous · Answer

yup, thanks :)