Question
Find the volume of the solid bounded by the graphs of the given equations.$$2 x+y+z=6, x=0, y=0, z=0, \text { first octant }$$
Step 1
Setting $y=z=0$, we get $x=3$. Setting $x=z=0$, we get $y=6$. And setting $x=y=0$, we get $z=6$. So, the plane intersects the $x$-axis at $(3,0,0)$, the $y$-axis at $(0,6,0)$, and the $z$-axis at $(0,0,6)$. Show more…
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