Arc Length Calculus
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All Comments (7)
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(13sqrt(13)-8)/27 is what I got, too, which is also about 1.44 (iviewthetube's answer.)
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Check this. I'm just as capable of screwing up as the next guy:
L = integral 0 to 1 of (1+f'^2)^1/2
f = x^(3/2)
f' = 3/2*x^(1/2)
L = 1/27*(9*(1)+4)^(3/2) - 1/27*(9*(0)+4)^(3/2)
L ~=1.7360061697-.2962962963 ~= 1.4397098734
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Or... you could post the answer as a response video..
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Why don't you make a website & post all your answers there?
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(13sqrt(13)-8)/27
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hmm, I've got a very strange answer.
(13sqrt(13)-4)/27
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The corect answer is 1.439709873 which (13sqt(13)-8)/27 excellent work
mathproblems 5 years ago