Mathematics, 02.01.2020 21:31 leslie4759
Find the volume of the region bounded by the paraboloid z=x2+y2 and the plane x+y=1 in the first octant.
Answers: 3
and Plane 
are bounded to get the area
![V=\int_{0}^{1}\left [ x^2y+\frac{y^3}{3}\right ]_{0}^{1-x}](/tpl/images/0440/1939/55136.png)
![V=\int_{0}^{1}\left [ x^2(1-x)+\frac{(1-x)^3}{3}\right ]dx](/tpl/images/0440/1939/358cf.png)
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Find the volume of the region bounded by the paraboloid z=x2+y2 and the plane x+y=1 in the first oct...
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