Math (yet again)

[Philoctetes]

I'm trying to figure out how to enter this into my calculator and get a graph, but I think it may be underpowered.

I have a Casio fx-9860gii, to be clear.

The problem is:

y=0.0034e^-(x-515)/26,912
200 greater than/equal to x smaller than/equal to 800

Thanks for any assistance.

:-)

Also, are there any kind of calculators out there that could handle this type of problem, without using an actual computer?

Thanks.

[bwv 1080]

why so complicated?  it just looks like e ^-x with the intercept moved and rescaled by a constant

[Philoctetes]

why so complicated?  it just looks like e ^-x with the intercept moved and rescaled by a constant

Well it's a bell shaped curve, so it's not the simplest of transformations. I mean it's really just distribution.

And I know how to do the graph, but it is about me not wanting to do all of the calculations of x between 200 and 800.

So I was hoping that someone knew how to do this easily on a calculator.

[Scarpia]

Well it's a bell shaped curve, so it's not the simplest of transformations. I mean it's really just distribution.

It's not a bell curve.  That would be a curve containing exp(x^2).  It's an exponential function, as BWV 1080 pointed out.  You just need to make a graph of a standard exponential function and rescale the x and y axes.   

[Philoctetes]

It's not a bell curve.  That would be a curve containing exp(x^2).  It's an exponential function, as BWV 1080 pointed out.  You just need to make a graph of a standard exponential function and rescale the x and y axes.

Whoops. I just noticed that I missed a key component to the equation, which led to this misunderstanding, the fault is only on one end.

Here's the correct equation:
y=0.0034e^-(x-515)^2/26,912
200 greater than/equal to x smaller than/equal to 800

[Scarpia]

Whoops. I just noticed that I missed a key component to the equation, which led to this misunderstanding, the fault is only on one end.

Here's the correct equation:
y=0.0034e^-(x-515)^2/26,912
200 greater than/equal to x smaller than/equal to 800

Ok, now it is a Gaussian with origin at 515, standard deviation 116 and scale factor 0.0034.  I've never owned a graphing calculator, but a it seems that if a calculator can graph anything it can graph that.  But you can't type it into excel or a scientific graphing program?   

[Philoctetes]

Ok, now it is a Gaussian with origin at 515, standard deviation 116 and scale factor 0.0034.  I've never owned a graphing calculator, but a it seems that if a calculator can graph anything it can graph that.  But you can't type it into excel or a scientific graphing program?   

Not in class, but how did you figure out the standard deviation?

We've actually not gotten to this in class, but I like to forge ahead.

[Scarpia]

Not in class, but how did you figure out the standard deviation?

We've actually not gotten to this in class, but I like to forge ahead.

The standard formula for a Gaussian is f(x) = exp( -x^2/ (2 sigma^2) ) where sigma is the standard deviation.  You have the same function with x -> (x-515), so the center is shifted, and 2 sigma^2 = 26,912

[Philoctetes]

The standard formula for a Gaussian is f(x) = exp( -x^2/ (2 sigma^2) ) where sigma is the standard deviation.  You have the same function with x -> (x-515), so the center is shifted, and 2 sigma^2 = 26,912

Thanks dude.

You're always cool in my book.

[petrarch]

I'm trying to figure out how to enter this into my calculator and get a graph, but I think it may be underpowered.

There's always Wolfram Alpha:
http://www.wolframalpha.com/input/?i=y%3D0.0034e%5E-%28x-515%29%5E2%2F26912