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I have recently learned to plot regions in the xy-plane as follows:

region_plot([y - 2*x<= 0,0<x,x&lt;2,0<y,y&lt;3],(x,-3,3),(y,-3,3))< p="">

My question is: How do I plot the same region, but living in 3-space? How do I add an extra condition (namely, z=0) so that the region appears in 3-space? The reason I ask is that I want to plot a two-varialbe function and its region of integration in the same plot.

I have recently learned to plot regions in the xy-plane as follows:

region_plot([y - 2*x<= 0,0<x,x&lt;2,0<y,y&lt;3],(x,-3,3),(y,-3,3))< p="">
0, 0<x, x<2, 0<y, y<3], (x, -3, 3), (y, -3, 3))

I have recently learned to plot regions in the xy-plane as follows:

region_plot([y - 2*x<= 0, 0<x, x<2, 0<y, y<3], (x, -3, 3), (y, -3, 3))

My question is: How do I plot the same region, but living in 3-space? How do I add an extra condition (namely, z=0) so that the region appears in 3-space? The reason I ask is that I want to plot a two-varialbe two-variable function and its region of integration in the same plot.