document.write( "Question 1179648: https://gyazo.com/3ef3cdf7a2043919626ad370b10d2516 \n" ); document.write( "
Algebra.Com's Answer #809234 by MathLover1(20855)\"\" \"About 
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the avarage rate of change in given interval is:\r
\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( "\"y=4sin%28x%29-7\"
\n" ); document.write( "recall: \"y=f%28x%29\"
\n" ); document.write( "\"pi%3C=x%3C=4pi%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "the avarage rate =\"%28f%28x%5B2%5D%29-f%28x%5B1%5D%29%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r
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\n" ); document.write( "\n" ); document.write( "if \"x%5B1%5D=pi\" find\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%5B1%5D%29=4sin%28pi%29-7\"....\"sin%28pi%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%5B1%5D%29=4%2A0-7\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%5B1%5D%29=-3\"\r
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\n" ); document.write( "\n" ); document.write( "if \"x%5B2%5D=4pi%2F3\" find\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%5B2%5D%29=4sin%284pi%2F3%29-7\"....\"sin%284pi%2F3%29=-sqrt%283%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%5B2%5D%29=4%2A%28-sqrt%283%29%2F2%29-7\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%5B2%5D%29=-7+-+2sqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "then\r
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\n" ); document.write( "\n" ); document.write( "the avarage rate =\"%28-7+-+2sqrt%283%29-%28-3%29%29%2F%284pi%2F3-pi%29\"\r
\n" ); document.write( "\n" ); document.write( "the avarage rate =\"%28-7+-+2sqrt%283%29%2B3%29%2F%28pi%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "the avarage rate =\"-%286+%282+%2B+sqrt%283%29%29%29%2Fpi\"-> exact solution\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "the avarage rate =\"-7.13\"\r
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