Graphing Parametric Equations . . .?

Question

Does anyone know of a website where I can graph parametric equations with TWO variables? I can only find sites that allow me to graph simple one-variable equations. Specifically, I want to graph the following:

x = V cos(24.09) sin u
y = V cos (24.09) cos u
z = V sin (24.09)

0 < u < 360
0 < V

(And no, my graphing calculator does not support this)

Answer 1

1) It´s a graph in 3 dimensions
x^2+y^2= v^2cos^2(24,09)
v= z/sin(24.09) so
x^2+y^2 = z^2 cotang^2(24.09)
The intercepts with planes parallel to xy plane (z= constant)
are concentric circunferences

Answer 2

i'm not sure the thank you to do it graphically, yet i will coach you elementary elementary approaches to do it analytically. enable's draw an elementary parabola parametically, in a trivial way. enable's enable: x(t) = t + 2 y(t) = t^2 - 2t + a million to that end, you will locate that once you plug in x=t into the 2d equation, you get y = (t+2)^2 - 2(t+2) + a million, that's a parabola. yet enable's not try this. enable's analyze this equation. remember that a "0" is a factor the place y = 0. So, the zeros ensue whilst y(t) = 0. so as that they ensue whilst: t^2 - 2t + a million = 0 (t-a million)^2 = 0 t = a million to that end, there is in elementary terms one 0, and it occurs whilst t=a million. yet what x/y factor does that provide? Plug it in: x(t) = t + 2 = a million + 2 = 3 y(t) = a million^2 - 2*a million + a million = 0 so as that provides (3,0) at t=a million. Bingo. Now, as for max and minimum, it relies upon on in case you comprehend calculus or not. i'm going to assume you do, because of the fact it makes life a splash less difficult. Maxima/minima of parabolas ensue whilst dy/dx = 0. it is the comparable as dy/dt = 0, because of the fact dy/dt = dy/dx * dx/dt. So, we take the by-fabricated from y(t): 2t - 2 =0 t = a million returned, the minimum occurs at t=a million, that's (3,0) as calculated till now. it fairly is sort of of a accident, even with the shown fact that it won't ask your self you too lots. in case you have a parabola and you in elementary terms have one 0, then that 0 could desire to be a max or a min.