document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644157>Question 644157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! i got different answer please help!!\r<BR>\n" );
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document.write( "Let g be the function defined by g(x) = 10 sin(20x)+30. the maximum value of g is attained at which of the following value of x ?\r<BR>\n" );
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document.write( "a. &#960;/2<BR>\n" );
document.write( "b. &#960;/10<BR>\n" );
document.write( "c. &#960;/20<BR>\n" );
document.write( "d. &#960;/30<BR>\n" );
document.write( "e. &#960;/40\r<BR>\n" );
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document.write( "I think d.is correct answer \r<BR>\n" );
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document.write( "since sin (20. &#960;/30) > sin (20.&#960;/40) so it maximize the g(x)\r<BR>\n" );
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document.write( "but the answer key said e. is correct answer <BR>\n" );
document.write( "please help me verify these.Maybe i am wrong\r<BR>\n" );
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document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404853 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=404853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let g be the function defined by g(x) = 10 sin(20x)+30. the maximum value of g is attained at which of the following value of x ?<BR>\n" );
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document.write( "Equation for sin function: Asin(Bx-C), A=amplitude, Period=2&#960;/B, Phase shift=C/B<BR>\n" );
document.write( "For given problem we only need to be concerned with the period of the given sin function:<BR>\n" );
document.write( "g(x) = 10 sin(20x)+30<BR>\n" );
document.write( "B=20<BR>\n" );
document.write( "Period=2&#960;/B=2&#960;/20=&#960;/10<BR>\n" );
document.write( "As with the sin function, the maximum amplitude occurs at (1/4) of the period.<BR>\n" );
document.write( "(1/4) period of given function=&#960;/40 (answer e.) </SPAN>\n" );
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