The graph of W = t2 + t + 1 is a simple parabola:

decibels__13.png

The graph of the sound pressure P,

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is given by:

decibels__15.png

The derivative of P is given by:

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At t = 3, the rate of change of P with respect to time is:

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The units are dB/s since the sound pressure is changing as time goes on.