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Mathematics 11 Online
OpenStudy (anonymous):

PLease take a look at this:

OpenStudy (anonymous):

OpenStudy (anonymous):

@thomaster

OpenStudy (anonymous):

@e.mccormick

OpenStudy (anonymous):

@hartnn @Preetha

hartnn (hartnn):

do you know arc length formula ? have you tried solving this ?

hartnn (hartnn):

\(\Large s = \int_{a}^{b} \sqrt { 1 + [f'(x)]^2 }\, dx\)

OpenStudy (anonymous):

Yes @hartnn I tried that. I get \[\sqrt{1+sin ^{2}h}\] in the end

OpenStudy (anonymous):

And dont know what to do from here:

hartnn (hartnn):

let me try too \(1+f'(x)^2 =1+ (1/4)(e^x-e^{-x})^2\)

hartnn (hartnn):

how did you get hyperbolic sin ?

OpenStudy (anonymous):

the original function is \[1/2 e ^{x} + e ^{-x}\]

OpenStudy (anonymous):

isnt that coshx

hartnn (hartnn):

yes, thats correct since you know hyperbolic function, did you know \(\large \cosh^2 x-\sinh^2 x = 1\) ?

OpenStudy (anonymous):

OH thats why!

OpenStudy (anonymous):

thank you hartnn

hartnn (hartnn):

could you get the answer now ? and welcome ^_^

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