Question

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

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

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

$c=x+z$

The above equation represents a plane parallel to the $y$-axis and equal $x,z$ intercepts.

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

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