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anonymous
 4 years ago
Find an interval of length 0.1 in [1, 2] containing a root of the equation. (Enter your answer using interval notation.) x^7 + 7x − 10 = 0
anonymous
 4 years ago
Find an interval of length 0.1 in [1, 2] containing a root of the equation. (Enter your answer using interval notation.) x^7 + 7x − 10 = 0

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asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0dleather25: have you heard of the NewtonRaphson Method?

nikvist
 4 years ago
Best ResponseYou've already chosen the best response.1\[f(x)=x^7+7x10\quad,\quad f(1)=2\quad,\quad f(2)=132\]\[f(1.5)=17.586\quad[1,1.5]\]\[f(1.25)=3.518\quad[1,1.25]\]\[f(1.125)=0.156\quad[1,1.125]\]\[f(1.0625)=1.034\quad\textbf{[1.0625,1.125]}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so do you just plug them in in th equation?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0yes  nikvist just started with the two extreme ends of the interval and then kept halving the interval until the solution converged to with 0.1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why did the 1 go up in the last one, but not any of the others?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0because at each step, you test the interval on the left and the one on the right to see which one gets you closer to the answer.
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