Traces of 3d objects

[burt]

This picture shows both the question and the work I've done so far. I'm pretty confident with my partial derivatives, but how do I draw the traces? These are my attempts - done with geogebra, but is this how to do it?

 

[Cubist]

In GeoGebra try the Curve command (click). For the y=0 trace z = sqrt(x^2+0^2) = abs(x), therefore use this command

Curve(t, 0, abs(t), t, -6, 6)

you need to introduce a parameter, in this case "t", and specify its range.

 

[burt]

In GeoGebra try the Curve command (click). For the y=0 trace z = sqrt(x^2+0^2) = abs(x), therefore use this command

Curve(t, 0, abs(t), t, -6, 6)

you need to introduce a parameter, in this case "t", and specify its range.

Cool thanks!