document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=720575>Question 720575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Not Urgent, Just VERY Curious\r<BR>\n" );
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document.write( "Hello, I couldn't find the correct section for my question. I am having difficulty with a certian concept in my math 170 class. We were recently taught about building functions, and specifically how to express the area of a rectangle as a function of x. In the example we are shown that a rectangle with its corners on origin, positive x, positive y, and a point in quadrant I on the graph y = 25 -x^2. I get all that, I can crunch the numbers, and come up with the right answers, but I have no idea what this function represents. It later says that the maximum area is 48.11 square units at x=2.89 units. What is x representing here? What is this area related to? How does this information corrospond to a practical application of mathematics? I am very sorry if I'm wasting your time, but I am on the verge of chewing my own fingernails off. I have to know what this actualy means. I've tried using the internet, and I keep getting function problems, not explainations. Thank you for your time, and have a wonderful day. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442037 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=442037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 25 -x^2<BR>\n" );
document.write( "I will give it a try:<BR>\n" );
document.write( "The given equation is that of a parabola that open downward (curve has a maximum).<BR>\n" );
document.write( "Its standard form: y=A(x-h)^+k, (h,k)=(x,y) coordinates of the vertex.<BR>\n" );
document.write( "For given equation: y=25-x^2<BR>\n" );
document.write( "rewrite: y=-x^2+25<BR>\n" );
document.write( "Since you don't see h, the x-coordinate of the vertex is=0<BR>\n" );
document.write( "The y-coordinate of the vertex is=k=25 which is also the maximum value for that particular parabolic function. A which is assumed=1, affects the slope of steepness of the curve.<BR>\n" );
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document.write( "As for the maximum area is 48.11 square units at x=2.89 units, this must represent a different curve from the one above. If it is a parabola it would be like: y=-(x-2.89)^2+48.11, that is, coordinates of the vertex would be (2.89,48.11)<BR>\n" );
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document.write( "In math and physics applications of the parabola is quite common especially in higher math courses like calculus. To get a better understanding of what the different curves look like, get a graphics calculator and punch in the equation to display the curve.\r<BR>\n" );
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document.write( "Hope this helps!<BR>\n" );
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