Verify That the Equation Is an Identity $P _ { 1 } = 0.003 \sin ( 14 \pi t )$

question 24

Multiple Choice

Verify that the equation is an identity.
-Two low-frequency sound waves with similar frequencies, producing the pressures $P _ { 1 } = 0.003 \sin ( 14 \pi t )$ and $P _ { 2 } = 0.002 \sin ( 24 \pi t )$ , combine to form a pressure $P = P _ { 1 } + P _ { 2 }$ . The variable $\mathrm { t }$ is time measured in seconds. Graph $\mathrm { P }$ in $[ 0,1.2 , .05 ]$ by $[ - 0.01,0.01,0.001 ]$ and use the graph to determine the frequency of the displayed beats.

• A) 7 beats per second
• B) 10 beats per second
• C) 5 beats per second
• D) 12 beats per second

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Definitions:

Nitrates

Salts or esters of nitric acid, containing the NO3- ion, commonly used in fertilizers.

Nitrogenous Compounds

Organic or inorganic compounds containing nitrogen in various chemical forms, important in many biological processes and industrial applications.

Organic Nitrogen

Nitrogen that is found in organic compounds, including proteins, nucleic acids, and other naturally occurring organic molecules.

Empowerment

Authorization and enablement; the awakening, liberation, and inspiration of people. Principles of empowerment include trust in people, investment in people, recognition of accomplishment, and decentralized decision making. Empowerment is closely associated with the concepts of democratic and participative leadership.