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Graph the Expression on Each Side of the Equals Symbol P1=0.004sin(14πt)\mathrm { P } _ { 1 } = 0.004 \sin ( 14 \pi \mathrm { t } )

Question 302

Multiple Choice

Graph the expression on each side of the equals symbol to determine whether the equation might be an identity.
-Two low-frequency sound waves with similar frequencies, producing the pressures P1=0.004sin(14πt) \mathrm { P } _ { 1 } = 0.004 \sin ( 14 \pi \mathrm { t } ) and P2=0.003sin(20πt) \mathrm { P } _ { 2 } = 0.003 \sin ( 20 \pi \mathrm { t } ) , combine to form a pressure P=P1+P2\mathrm { P } = \mathrm { P } _ { 1 } + \mathrm { P } _ { 2 } . The variable t\mathrm { t } is time measured in seconds. Graph P\mathrm { P } in [0,1.2,.05][ 0,1.2 , .05 ] by [0.01,0.01,0.001][ - 0.01,0.01,0.001 ] and use the graph to determine the frequency of the displayed beats.


A) 10 beats per second
B) 3 beats per second
C) 7 beats per second
D) 6 beats per second

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