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Part 1
The intensity of a sound is given by II0100.1L, where L is the loudness of the sound as measured in decibels and I0 is the minimum intensity detectable by the human ear.
a) Find I, in terms of I0, for the loudness of a small engine, which is decibels.
b) Find I, in terms of I0, for the loudness of a quiet sound, which is decibels.
c) Compare your answers to parts (a) and (b).
d) Find the rate of change dI/dL.
e) Interpret the meaning of dI/dL