document.write( "Question 1116853: Hi tutors, this is a extra points question for a quiz, but my professor never teaches us this kind of question.\r
\n" ); document.write( "\n" ); document.write( "Find the exact general and particular solutions to the equation:
\n" ); document.write( "10sin ( 3x+ pi/6 ) + 7sqrt(3) = 2sqrt(3)
\n" ); document.write( "1. What is the exact general solution?
\n" ); document.write( "2. What is the particular solutions in {0, 2pi }\r
\n" ); document.write( "\n" ); document.write( "can someone help me with this question ?
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Algebra.Com's Answer #731769 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"10sin%283x%2B+pi%2F6%29+%2B+7sqrt%283%29+=+2sqrt%283%29\"\r\n" );
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document.write( "First subtract \"7sqrt%283%29\" from both sides:\r\n" );
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document.write( "\"10sin%283x%2B+pi%2F6%29+=+-5sqrt%283%29\"\r\n" );
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document.write( "Divide both sides by 10\r\n" );
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document.write( "\"sin%283x%2B+pi%2F6%29+=+-5sqrt%283%29%2F10\"\r\n" );
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document.write( "\"sin%283x%2B+pi%2F6%29+=+-sqrt%283%29%2F2\"\r\n" );
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document.write( "The right side is negative.\r\n" );
document.write( "The left side is a sine.\r\n" );
document.write( "The sine is negative in QIII and QIV.\r\n" );
document.write( "The 2 particular solutions in [0,2p) are,\r\n" );
document.write( "from the unit circle 4p/3 and 5p/3. \r\n" );
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document.write( "\"3x%2Bpi%2F6+=+4pi%2F3\",   \"3x%2Bpi%2F6=5pi%2F3\"\r\n" );
document.write( "\"3x=4pi%2F3-pi%2F6\",   \"3x=5pi%2F3-pi%2F6\"\r\n" );
document.write( "\"3x=8pi%2F6-pi%2F6\",   \"3x=10pi%2F6-pi%2F6\"\r\n" );
document.write( "\"3x=7pi%2F6\",      \"3x=9pi%2F6\"\r\n" );
document.write( "\"x=7pi%2F18\",       \"3x=3pi%2F2\"\r\n" );
document.write( "                \"x=pi%2F2\"\r\n" );
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document.write( "The exact general solutions are found by adding 2p∙n\r\n" );
document.write( "to the exact particular solutions in [0,2p),\r\n" );
document.write( "where n is any integer positive, negative or 0.\r\n" );
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document.write( "So the general solutions are:\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0A%0D%0A7pi%2F18%2B2pi%2An%2C+and%2Cpi%2F2%2B2pi%2An%29\"   \r\n" );
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document.write( "If you like you can do a little work on\r\n" );
document.write( "those exact general solutions and get\r\n" );
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document.write( "\"matrix%281%2C3%2C%0D%0A%0D%0A%28%287%2B36n%29%2F18%29pi%2C+and%2C%28%281%2B4n%29%2F2%29pi%29\"\r\n" );
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document.write( "Edwin

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