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9 January, 10:41

Decide whether Rolle's theorem can be applied to f (x) = x2 + 5 on the interval [0, 3]. If Rolle's theorem can be applied, find all value (s) of c in the interval such that f ' (c) = 0.

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  1. 9 January, 14:25
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    Step-by-step explanation:

    it is continuous in [0,3]

    f' (x) = 2x which exists in (0,3)

    f (0) = 0²+5=5

    f (3) = 3²+5=14

    f (0) ≠f (3)

    so Rolle's theorem can't be applied.
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