The volume V can be calculated using a double integral:
$V = \iint_R z \,dA$
where R is the region in the xy-plane defined by the given planes.
The planes are $x = 0$, $y = 0$, $z = 0$, and $x + y = 1$.
The paraboloid is $z = 6x^2 + 4y^2$.
Since $z = 6x^2 +
Show more…