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suju101

verify rolle's theorem for f(x)=x(x+3)e^-(x/2)

  • 2 years ago
  • 2 years ago

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  1. JamesJ
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    For example, for x = 0 and x = 3, f(x) = 0. Hence Rolle's Theorem predicts there is a number \[ c \in [0,3] \] such that \( f'(c) = 0 \). To 'verify' Rolle's Theorem, show that this is indeed the case by explicitly finding such a number c.

    • 2 years ago
  2. JamesJ
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    *correction: \( c \in (0,3) \)

    • 2 years ago
  3. suju101
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    is it really ok to suppose the interval on our own becoz it is not given in the questiion

    • 2 years ago
  4. JamesJ
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    If they don't specify an interval, why not pick your own?

    • 2 years ago
  5. suju101
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    okay

    • 2 years ago
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