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OpenStudy (anonymous):
Use Newton's method to approximate the indicated root of the equation correct to six decimal places.
x^4 - 4x^3 + 5x^2 - 3 = 0
[1, 3]
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OpenStudy (anonymous):
make a guess.
OpenStudy (anonymous):
really that is the first step, guess.
OpenStudy (anonymous):
huh...
OpenStudy (anonymous):
The first step of Newton's Method is to guess what the root is close to. So basically you just pick a number inside that interval. So make a guess :)
OpenStudy (anonymous):
i guess 1.5
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OpenStudy (anonymous):
i guess 2!
OpenStudy (anonymous):
i guess 1.75
OpenStudy (anonymous):
you next guess is
\[1.5-\frac{f(1.5)}{f'(1.5)}\] i would use a calculator
OpenStudy (anonymous):
now what?
OpenStudy (anonymous):
ok if you guess 1.75 then your next guess is
\[1.75-\frac{f(1.75)}{f'(1.75)}\] i would still use a calculator
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OpenStudy (anonymous):
people get scared of this newton's method but the method is very simple. it is just the computation that is annoying
OpenStudy (anonymous):
i know im scared >.< i dont like calculus >.>
OpenStudy (anonymous):
one sec...im almost done
OpenStudy (anonymous):
1.633928571 is wat i got
OpenStudy (anonymous):
hello are you still there
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OpenStudy (anonymous):
i guess you guys left me
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