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## Homework Statement

Use polar coordinates to compute the volume of the region defined by

4 - [itex]x^{2}[/itex] - [itex]y^{2}[/itex] ≤ z ≤ 10 - 4[itex]x^{2}[/itex] - 4[itex]y^{2}[/itex]

## Homework Equations

## The Attempt at a Solution

I got z = 2 so set up the equation

V = [itex]f^{2pi}_{0}[/itex][itex]f^{5/2}_{2}[/itex][itex]f^{0}_{2}[/itex]r*dzdrdθ

is the domain correct?