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verify that the function satisfies the three hypotheses of rolle's theoreom on the given interval then find all numbers c that satisfy the conclusion of rolle's theorem.
1) 5-12x+3x^2 [1,3]

  • Calculus -

    To see if Rolle's theorem applies, check
    1. if the function is continuous on the closed interval [a, b].
    2. if it is differentiable
    on the open interval (a,b).
    3. check if f(a)=f(b).

    If all the above conditions are satisfied, then there exists some value c between a and be such that f(c)=0.

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