Make a sketch of the solid in the first octant bounded by the plane
$x + y = 1$
and the parabolic cylinder
$x^{2} + z = 1$
Calculate the volume of the solid..
I have no idea where to even start 🙁
calculusmultivariable-calculus
Make a sketch of the solid in the first octant bounded by the plane
$x + y = 1$
and the parabolic cylinder
$x^{2} + z = 1$
Calculate the volume of the solid..
I have no idea where to even start 🙁
Best Answer
As can be seen from the plot below, we have a flat triangle with $(0,0),(0,1),(1,0)$ on $xy-$plane. So the required limits here is as $$x|_0^1,y|_0^{1-x},z|_0^{1-x^2}$$