# Consider an experiment in which equal numbers of male and female insects of a certain species are...

## Question:

Consider an experiment in which equal numbers of male and female insects of a certain species are permitted to intermingle. Assume that {eq}M(t)=(0.1t+1)ln(\sqrt {(t)}) {/eq} represents the number of makings observed among the insects in an hour, where t is the temperature in degrees Celsius. (Note: The formula is an approximation at best and holds only for specific temperature intervals.)

Find the number of makings when the temperature is {eq}12^\circ C. {/eq}

## Modeling

Mathematical equations are frequently used to model natural phenomenon. In a mathematical model, an equation usually represents an aspect of nature such as the number of interactions among different individuals as a function of other natural variables.

If the number of matings observed as a function of temperature is given by the equation

{eq}\displaystyle M(t)=(0.1t+1)\ln(\sqrt {(t)}) {/eq}.

To...

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