anonymous
  • anonymous
Use the Intermediate Value Theorem to verify that f(x) has a zero in the given interval. Then use the method of bisections to find an interval of length 1/32 that contains the zero.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
f(x) = x^2 - 7, [2,3]
anonymous
  • anonymous
can u help with this last one then i'm done for today @zepdrix
zepdrix
  • zepdrix
Well we can determine where f(x) has a zero by setting the function equal to zero and solving for x.\[\large f(x)=x^2-7 \qquad \rightarrow \qquad 0=x^2-7 \qquad \rightarrow \qquad x=\sqrt 7\] \(\sqrt 7\) is approximately \(2.65\) which is between 2 and 3. I'm not exactly sure how to apply the Intermediate Value Theorem, or Bisections for that matter :( Hmmm But that's where the root is located at least :C

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anonymous
  • anonymous
okay thanks for the help i appreciate it

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