- #1

DrunkApple

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## Homework Statement

Let W be the region between the paraboloids z = x^2 + y^2 and z = 8 - x^2 - y^2

## Homework Equations

## The Attempt at a Solution

for each domain,

0 ≤ z ≤ 8

0 ≤ r ≤ 2

0 ≤ θ ≤ 2[itex]\pi[/itex]

So...

[itex]\int^{2\pi}_{0}[/itex][itex]\int^{2}_{0}[/itex](8-2[itex]r^{2}[/itex])r drdθ