7. The number \( n \) (in hundreds) of mosquitoes in a camping area after \( t \) weeks can be modelled by the equat \[ n(t)=-2 t^{4}-5 t^{3}-16 t^{2}+45 t \] ccording to this model, when will the population of mosquitoes be greater than 1800 ?
Added by Jes-S P.
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Since \( n(t) \) is in hundreds, 1800 mosquitoes correspond to \( n(t) = 18 \) (in hundreds). Therefore, we need to solve: \[ -2t^4 - 5t^3 - 16t^2 + 45t > 18. \] Show more…
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