[Solved] Find the boundaries of the integral ∫_R y d x d y d z where R is the region given below in the shape of the paraboloid z=f[x, y]=9-\mathrmx^2-\mathrmy^2
Question: Find the boundaries of the integral \(\iiint_{\mathrm{R}} \mathrm{y} d \mathrm{x} d \mathrm{y} d \mathrm{z}\) where \(\mathrm{R}\) is the region given below in the shape of the paraboloid
\(\mathrm{z}=\mathrm{f}[\mathrm{x}, \mathrm{y}]=9-\mathrm{x}^{2}-\mathrm{y}^{2}\) over the region inside and on the circle \(\mathrm{x}^{2}+\mathrm{y}^{2}=9\)
(You don't need to calculate the integral, just fill in the boundaries of integration and give your reasons for that.)
Deliverable: Word Document 