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 personnel at the en+2jww(wj k aqgb18)khg)8wl vtry f+*1zuchtl t+ wb2 y*56wz xezof 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 the square of the distance from the siren 5ex1zzwy ub+ t+ 6z2hwl*fct*, 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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