**Problem 1:** An audio engineer takes decibel readings at distances of \( r_1 = 14 \, \text{m} \) and \( r_2 = 22 \, \text{m} \) from a concert stage speaker during a sound check. When he is \( r_1 \) from the speaker, the engineer registers a decibel level of \( \beta_1 = 117 \, \text{dB} \) on his loudness meter.**Randomized Variables**- \( r_1 = 14 \, \text{m} \)- \( r_2 = 22 \, \text{m} \)- \( \beta_1 = 117 \, \text{dB} \)---### Part (a)What is the intensity of the sound, \( I_1 \), in watts per square meter, that is measured by the loudness meter when the engineer is a distance of \( r_1 \) from the speaker?\[ I_1 = \text{(input box)} \]### Calculator- Functions available: sin(), cos(), tan(), cotan(), asin(), acos(), atan(), acotan(), sinh(), cosh(), tanh(), cotanh()- Constants: \(\pi\), \(e\)- Modes: Degrees, Radians- Inputs: Numeric keypadButtons:- **Submit** - **Hint**- **Feedback**- **I give up!**---### Part (b)How much power \( P \), in watts, is coming from the speaker during the sound check at distance \( r_1 \)?### Part (c)Assuming that the speaker output does not change between the two measurements at \( r_1 \) and \( r_2 \), what sound intensity level \( \beta_2 \), in decibels, will the loudness meter report when the engineer is at a distance \( r_2 \) from the speaker?

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Answered: Problem 1: An audio engineer takes…

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