The intensity of a sound is given by I=1,100.1t, where L is the loudness of the sound as measured in decibels and l, is the minimum intensity detectable by the human ear. a) Find I, in terms of l9, for the loudness of a small engine, which is 60 decibels. b) Find I, in terms of lo, for the loudness of a quiet sound, which is 30 decibels. c) Compare your answers to parts (a) and (b). d) Find the rate of change dl/dL. e) Interpret the meaning of dl/dL. a) I = l (Type your answer using exponential notation.) b)I= (Type your answer using exponential notation.) c) Compare your answers to parts (a) and (b). O A. The small engine is 10° times louder than the quiet sound, B. The small engine is the as loud as the quiet sound. to O C. The small engine is 10° times louder than the quiet sound. IP dL e) Interpret the meening of dl/dL. A. dl/dL is the loudness at which a human can hear the sound. B. dl/dL is the rate of change of the intensity of the sound based upon its loudness.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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The intensity of a sound is given by I=1,100.1t, where L is the loudness of the sound as measured in decibels and l, is the minimum intensity detectable by the human
ear.
a) Find I, in terms of l9, for the loudness of a small engine, which is 60 decibels.
b) Find I, in terms of lo, for the loudness of a quiet sound, which is 30 decibels.
c) Compare your answers to parts (a) and (b).
d) Find the rate of change dl/dL.
e) Interpret the meaning of dl/dL.
a) I = l (Type your answer using exponential notation.)
b)I= (Type your answer using exponential notation.)
c) Compare your answers to parts (a) and (b).
O A.
The small engine is 10° times louder than the quiet sound,
B. The small engine is the as loud as the quiet sound.
to
O C. The small engine is 10° times louder than the quiet sound.
IP
dL
e) Interpret the meening of dl/dL.
A. dl/dL is the loudness at which a human can hear the sound.
B. dl/dL is the rate of change of the intensity of the sound based upon its loudness.
Transcribed Image Text:The intensity of a sound is given by I=1,100.1t, where L is the loudness of the sound as measured in decibels and l, is the minimum intensity detectable by the human ear. a) Find I, in terms of l9, for the loudness of a small engine, which is 60 decibels. b) Find I, in terms of lo, for the loudness of a quiet sound, which is 30 decibels. c) Compare your answers to parts (a) and (b). d) Find the rate of change dl/dL. e) Interpret the meaning of dl/dL. a) I = l (Type your answer using exponential notation.) b)I= (Type your answer using exponential notation.) c) Compare your answers to parts (a) and (b). O A. The small engine is 10° times louder than the quiet sound, B. The small engine is the as loud as the quiet sound. to O C. The small engine is 10° times louder than the quiet sound. IP dL e) Interpret the meening of dl/dL. A. dl/dL is the loudness at which a human can hear the sound. B. dl/dL is the rate of change of the intensity of the sound based upon its loudness.
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