Question

What are level curves ? Sketch some level curves of the hyperboloid of one sheet defined by x^2+(1/9)y^2 -z ^2=1 @Mathematics Subje…

Answer 1

I believe this equation is for level surfaces not curves

Answer 2

basically i believe the 1=f(x,y,z)

Answer 3

as for level surfaces you basically let f(x,y,z)=k

Answer 4

and solve

Answer 5

level curves on the other are for f(x,y) functions... basically what level curves and surfaces show is kind of like a tree with its' aging rings. you take slices at different points going up the z axis to get for example if you had an ellipsoid

Answer 6

levelsurfaces are the space version i guess you could sayof level curves

Answer 7

thank you.