document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110938>Question 1110938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1: Graph a sine function whose amplitude is 6, period is  4&#960; , midline is  y=&#8722;4 , and y-intercept is (0,&#8201;&#8722;4) <BR>\n" );
document.write( "The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.\r<BR>\n" );
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document.write( "2: When plucked, the E string on a violin has a frequency of 659 cycles per second.\r<BR>\n" );
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document.write( "What sine function represents this note when it is graphed with an amplitude of 2.5 units?\r<BR>\n" );
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document.write( "Let x represent the number of seconds\r<BR>\n" );
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document.write( "3: An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 46 inches and its minimum height is 18 inches. It takes the ball 2 seconds to go from its maximum height to its minimum height.\r<BR>\n" );
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document.write( "Which model best represents the height, h, of the ball after t seconds<BR>\n" );
document.write( "A  h(t)=18sin(&#960;t2)+32\r<BR>\n" );
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document.write( "B  h(t)=14sin(&#960;t2)+32\r<BR>\n" );
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document.write( "C  h(t)=32sin(&#960;t)+18\r<BR>\n" );
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document.write( "D  h(t)=14sin(&#960;t)+32\r<BR>\n" );
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document.write( "4: Gerald launches a projectile from the top of an 80-foot high building. The initial velocity of the projectile is 32 feet per second. The height of the projectile is modeled by the function h(t)=&#8722;16t2+64t+80 , where t is measured in seconds since the launch.\r<BR>\n" );
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document.write( "What is the maximum height the projectile reaches?\r<BR>\n" );
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document.write( "A  80 ft\r<BR>\n" );
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document.write( "B  124 ft\r<BR>\n" );
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document.write( "C  132 ft\r<BR>\n" );
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document.write( "D  144 ft\r<BR>\n" );
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document.write( "5: A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2&#8722;40t+80 , where t is measured in seconds since the car started its decline.\r<BR>\n" );
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document.write( "The model is accurate for 0&#8804;t&#8804;4 .\r<BR>\n" );
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document.write( "On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again\r<BR>\n" );
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document.write( "A 1.25 s\r<BR>\n" );
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document.write( "B  1.5 s\r<BR>\n" );
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document.write( "C   2 s\r<BR>\n" );
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document.write( "D  2.75 s\r<BR>\n" );
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document.write( "6:  On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a.m. and 12 p.m. The low tide is 0.4 meter and only occurs at 6 a.m. and 6 p.m.\r<BR>\n" );
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document.write( "Which function models the height of the tide t hours after 12 a.m.\r<BR>\n" );
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document.write( "A  h(t)=1.1sin(&#960;t3)+0.7\r<BR>\n" );
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document.write( "B  h(t)=1.8cos(&#960;t3)+0.4\r<BR>\n" );
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document.write( "C  h(t)=0.7cos(&#960;t6)+1.1\r<BR>\n" );
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document.write( "D  h(t)=0.7sin(&#960;t6)+1.1\r<BR>\n" );
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document.write( "Enter the amplitude of the function f(x) .\r<BR>\n" );
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document.write( "f(x)=&#8722;sin(3x)&#8722;\r<BR>\n" );
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document.write( "7: The height of an object projected upward from the ground with an initial velocity of 96 feet per second is modeled by the function h(t)=&#8722;16t2+96t , where t is measured in seconds.\r<BR>\n" );
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document.write( "How long does it take for the object to return to the ground?<BR>\n" );
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document.write( "A  2 s\r<BR>\n" );
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document.write( "B  3 s\r<BR>\n" );
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document.write( "C  4 s\r<BR>\n" );
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document.write( "D  6 s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725949 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52750)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "One and only one problem per post.\r<BR>\n" );
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document.write( "It is the rule of this site/forum.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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