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(Solved): Small water bugs swim in groups as protection against attacks from fish. In one observational study ...




Small water bugs swim in groups as protection against attacks from fish. In one observational study, the number, \( a \), of
Small water bugs swim in groups as protection against attacks from fish. In one observational study, the number, \( a \), of attacks per individual bug per hour depended on the group size, s, according to the model \( a=120 s^{-1} 11 \). The model is appropriate for group sizes from 1 to 100 (a) How many attacks are expected on an individual bug per hour if swimming in a group of size \( 19 ? \) Round to four decimal places. (b) Find \( d \) a \( / d s \). \[ \begin{array}{l} \text { 1. }-134.16 s^{-2118} \\ \text { 11. } 134.16 s^{-2.118} \\ \text { i11. }-134.16 s^{-0118} \end{array} \] (c) Evaluate \( d \) a/ \( d \) s| \( \left.\right|_{16} \) include units. Round to four decimal places.


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Solution : Given that Small water bugs swim in g
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