I have a plotted a graph of:

Now I understand that the maximum is when t=0, however what about the full width half max?? Why is the half height 1/e??

Can someone help me obtain the full width half max of this?

Thanks

Chris

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- May 16th 2010, 02:20 AMchutsuFull Width Half Max question??
I have a plotted a graph of:

Now I understand that the maximum is when t=0, however what about the full width half max?? Why is the half height 1/e??

Can someone help me obtain the full width half max of this?

Thanks

Chris - May 16th 2010, 03:22 AMHallsofIvy
I had to google "full width half max". Apparently, it is the distance between and for points such that 1/2 the maximum value of the function.

You have correctly calculated that the maximum value of this function occurs at x= 0 and, so, is e. But the "half max" is not 1/e, it is, as you should guess, half of e: e/2.

You need to solve . Since f is symmetric about x= 0, the "full width at half maximum" is twice that x value.