My Math Forum Classes of equations?

 Linear Algebra Linear Algebra Math Forum

 January 23rd, 2012, 03:27 PM #1 Newbie   Joined: Jan 2012 Posts: 1 Thanks: 0 Classes of equations? How do I find a complete set of equations, or classes of equations, that satisfy the following conditions: The function must be smooth and connected everywhere. When the function crosses the y-axis it must have a finite negative value (let us call the absolute value of this value a), and the slope of the function where it crosses the y-axis must be zero. At some finite positive x-value (let's call this value b) the function must cross the x-axis. At point b the slope must be infinite, and b must be an inflection point. Finally, the graph should be symmetric about the y-axis. I know that the following equation satisfies all but the last of these conditions, but I do not know how to identify the class of equations that satisfy them all. y = (x-a)^(1/b) Can anyone help?
 January 27th, 2012, 12:50 AM #2 Senior Member   Joined: Oct 2008 Posts: 215 Thanks: 0 Re: Classes of equations? This is not linear algebra problem. You could have a try to the function with period 2 and it is -sqrt(1-x^2) when -1<=x<=1
 January 27th, 2012, 12:54 AM #3 Senior Member   Joined: Oct 2008 Posts: 215 Thanks: 0 Re: Classes of equations? It should be function with period 4 and -sqrt(1-x^2) when -1<=x<=1 and sqrt(1-(x-2)^2) when 1<=x<=3

 Tags classes, equations

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post LaC0saNostra Applied Math 4 October 27th, 2012 04:02 PM guynamedluis Real Analysis 0 November 21st, 2011 08:39 PM liangteh Applied Math 8 March 12th, 2011 04:31 PM tsmith Abstract Algebra 1 May 10th, 2010 02:01 PM Zhai Applied Math 9 May 5th, 2010 01:18 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top