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anonymous
 one year ago
Parametrize paraboloid? z = x^2 + (y^2)/9  9
How to I progress parametrizing it?
I know how to parametrize 2D curves, but this is 3D; What's different?
anonymous
 one year ago
Parametrize paraboloid? z = x^2 + (y^2)/9  9 How to I progress parametrizing it? I know how to parametrize 2D curves, but this is 3D; What's different?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answer will be infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's not what I asked

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know i am just working through it , i said so i ll know if u have the right answer or not

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x = u , y = v, z = u^2 + v^2/9 9 < u , v , u^2 + v^2/9 9 >

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1why are you param'ing this? because, if is this is calculus with surface integrals and the like in mind, then you might wish to consider upping your game and going for polarcylindrical what you have here is: \(z = x^2 + \frac{1}{9}y^2  9\) or: \(z + 9= x^2 + \frac{1}{9}y^2\) that bit on the RHS is an ellipse. let's say we set z = 0, then we have \(1= \frac{x^2}{3^2} + \frac{y^2}{9^2}\) compared to standard ellipse formulation: \(\left(\frac{x}{a}\right)^2 + \left(\frac{y}{b}\right)^2 = 1 \) i will stop here, unless you think this is relevant :p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The way I understand this, I am supposed to find this; r(t) = [x(t), y(t), z(t)] (still working on this  understanding this takes time.. ! ) :)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1i'd start with the ellipse part of \[z = x^2 + \frac{y^2}{9}  9 \implies z +9= x^2 + (\frac{y}{3})^2 \] and look at this bit \(x^2 + \frac{y^2}{9}\) where you can say \(x = r \cos t, y = 3 r \sin t\) so \(z+9 = r^2, z = r^2  9\) from that you can say \(\vec r (t) = <r \cos t, 3r \sin t , r^2  9>\)
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