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kimmy0394

  • 2 years ago

Determine whether Rolle's Theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (Enter your answers as a comma-separated list. If Rolle's Theorem does not apply, enter DNE) f(x) = ln(5 − sin(x)) on [0, 2π]

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  1. nasryn
    • 2 years ago
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    Do you know the conditions of Rolle's Theorem?

  2. simone12103
    • 2 years ago
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    no i don't !

  3. nasryn
    • 2 years ago
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    The function has to be continuous and differentiable and f(a)=f(b)

  4. Dido525
    • 2 years ago
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    I guess I can join in?

  5. kimmy0394
    • 2 years ago
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    yeah i do but i tried and didn't get the right answer

  6. satellite73
    • 2 years ago
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    just answered this question earlier on line class?

  7. Dido525
    • 2 years ago
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    Okay so you know rolle's theorem states that if you have a continuous and differentiable function on [a,b] and (a,b) then there exists a number c where f'(c) is equal to zero on that interval.

  8. Dido525
    • 2 years ago
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    So you would differentiate and set y= 0, then solve for x.

  9. satellite73
    • 2 years ago
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    sinc \(sin(0)=\sin(2\pi)=0\) you get \(f(0)=f(2\pi)=\ln(5)\) take the derivative, set it equal to zero and solve for \(x\)

  10. simone12103
    • 2 years ago
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    okay ! thanks for the help and yes online class :(

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