# Math Help - Calc 3 multiple integrals

1. ## Calc 3 multiple integrals

E is the solid region enclosed by 2 paraboloids 6+y^2+z^2=x and 19-y^2-z^2=x
describe E in set notation??

2. Originally Posted by Jessica11
E is the solid region enclosed by 2 paraboloids 6+y^2+z^2=x and 19-y^2-z^2=x
describe E in set notation??
Maybe

$E=\left\{\left.{(x,y,z)\in\mathbb{R}^3}\right|~6+y ^2+z^2\leqslant{x}\leqslant19-y^2-z^2\right\}$