B(dB) = 10log10G) Where: B is the sound intensity level in dB. I is the sound wave intensity in W/m². I, is a constant representing the intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears. A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given below: I = 3 + 2 cos(4t – n) W/m². Knowing that I, = 1 × 10-12 W/m²: 1. Find a formula for the rate of change of ß with respect to time. [Hint: use the chain rule] 2. Find the value of the rate of change of ß with respect to time at t = 1 sec.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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may you please solve the question in the attached picture

B(dB) = 10log10G)
Where:
B is the sound intensity level in dB. I is the sound wave intensity in W/m². I, is a constant representing the
intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears.
A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given
below:
I = 3 + 2 cos(4t – n) W/m².
Knowing that I, = 1 × 10-12 W/m²:
1. Find a formula for the rate of change of ß with respect to time. [Hint: use the chain rule]
2. Find the value of the rate of change of ß with respect to time at t = 1 sec.
Transcribed Image Text:B(dB) = 10log10G) Where: B is the sound intensity level in dB. I is the sound wave intensity in W/m². I, is a constant representing the intensity threshold of hearing, which is the lowest intensity a human can hear with his/her ears. A sound source, or a speaker, produces a wave with intensity I, which varies with respect to time as given below: I = 3 + 2 cos(4t – n) W/m². Knowing that I, = 1 × 10-12 W/m²: 1. Find a formula for the rate of change of ß with respect to time. [Hint: use the chain rule] 2. Find the value of the rate of change of ß with respect to time at t = 1 sec.
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