Homework Help is Here – Start Your Trial Now!
Math
Calculus
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.

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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS