Burning down the house

Use the conservation equation to find \(\langle s\rangle\) in terms of \(\rho_\textrm{tree},\) \(f,\) and \(r.\)

What is \(\langle s\rangle\) when \(\rho_\textrm{tree} = 0.4,\) \(f = 0.01,\) and \(r = 0.05?\)


Hint: Recall that \(\rho_\textrm{empty} + \rho_\textrm{tree} + \rho_\textrm{burning} = 1.\)

Assume that \(\rho_\textrm{burning} \ll \{\rho_\textrm{empty}, \rho_\textrm{tree}\}.\)

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