本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions,类别为 IB数学
[问答题]
The security personnyo,o nbx-3)+j q8knml luhg4:el at the entry o3 od.txm6bpu4pcoexi ; -v*n 9f a rural campground activate a siren to alert campers when a wild animal is spotted nearby. The sound intensity, I, of the siren varies inversely with thv-4i;6c9u .*pmtpondx 3eob xe square of the distance from the siren, d. When initially testing the siren, the security personnel found that at a distance of 3 metres from the siren, the sound intensity is 5 watts per square metre ($Wm^{−2}$).
1.Show that I=$\frac{45}{d^2}$.
2.Sketch the curve of I for d>0, labelling the point (3,5).
The campers can only hear the siren if the sound intensity at their location is greater than $1.2\times10^{−5}Wm^{−2}$.
3.Find the minimum distance, in kilometers, from the siren where the campers can no longer hear the siren.
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