## Related questions with answers

Question

Sketch a typical level surface for the function. ƒ(x, y, z) = z

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2$\text{To obtain a level curve for $f(x,y,z)=z$, replace $f(x,y,z)$ with constant $c$. }$

$c=z$

The above equation represents a plane which is perpendicular to the $z$-axis and parallel to both the $x$ and $y$ axes.

The graph below shows the level curves corresponding to $c=1,2,3$

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