document.write( "Question 1169790: I hope this is the right topic\r
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\n" ); document.write( "You are given the equation y(t)=2sin(4πt) + 5cos(4πt), which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first form,y(t)=A sin(wt+Φ)\r
\n" ); document.write( "\n" ); document.write( "More background info:
\n" ); document.write( "y(t) = distance of weight from equilibrium position
\n" ); document.write( "w= angular frequency (measured in radians per second)
\n" ); document.write( "A = amplitude
\n" ); document.write( "Φ = phase (depends on initial conditions)
\n" ); document.write( "c1 = AsinΦ
\n" ); document.write( "c2 = AcosΦ\r
\n" ); document.write( "\n" ); document.write( "Question:To rewrite y(t)=2sin(4πt) + 5cos(4πt) in the form y(t)=A sin(wt+ Φ), solve for Φ \r
\n" ); document.write( "\n" ); document.write( "THANK YOU SO MUCH IN ADVANCE FOR HELPING ME!\r
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Algebra.Com's Answer #794735 by ikleyn(52908)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "duplicate.\r
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\n" ); document.write( "\n" ); document.write( "Just solved under this link\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1169852.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/logarithm/logarithm.faq.question.1169852.html\r
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