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# Math Classes in Order

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Follow 4 Follow 5 Original post by Bezzler You can't do it with the quadratic formula because they have to be cubics or higher order. Follow 6 Original post by Owais B I am really puzzled as to how to show the equation failing, graphically and with an explanation? And also what exactly does it mean by error bounds?

I was sick and couldnt go to school. Follow 7 Original post by Tallon NR fails if your starting value for x happens to be at a turning point as the tangent will never touch the x axis and generate a new x value. Although that's not a realistic example. Instead get one similar to that but instead your tangent goes away from your starting x value and ends up converging to a different root than you'd expect given your starting value for x.

Or if a root is a repeated root and just touches the axis. Last edited by Owais B; at Follow 8 Original post by Owais B Thanks for the info Tallon When drawing graphs for the Raphson using autograph, you right click it and select N-R and then enter appropriate x-values for the interval. Then automatically when you press the arrow it will give all the x values till it converges and will put tangents against the roots, What does the tangents mean and why are there more than 1?

This is main concern for me now, please can someone clarify thoroughly Thank you so much for your time. Follow 9 Follow 10 Original post by Tallon I don't actually use autograph so I don't know what you mean. I use similar software for graph plotting but I can't give you specifics there, sorry.

So I don't really understand your question. But I imagine there's lots of tangents because the first tangent is for the first x value tangent to that particular y value generated.

Then that first tangent intersects the x axis, generating a new x value which generates a new y value which another tangent touches the curve on which then intersects the x axis, generating a new x vlaue, etc, etc?

It will either converge or disverge this way. Follow 11 Original post by Owais B Will this Rearrangement method work? Also when both graphs are drawn do i use the x value where the graph croxes the x-axis or where the graphs intersect? So i'm half way there Thanks. Follow 12 I'm not sure if I'm meant to help with specifics of coursework here, but your rearrangment looks fine to me. Just remember to show both graphically.

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