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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = −x2 + 7x, [0, 7] Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ≠ f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c =

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = −x2 + 7x, [0, 7] Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ≠ f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c =

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Determine whether Rolle's Theorem can be applied to f on the closed interval [ a , b ] . (Select all that apply.)
f ( x ) = − x 2 + 7 x , [ 0 , 7 ]
Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [ a , b ] . No, because f is not differentiable in the open interval ( a , b ) . No, because f ( a ) ≠ f ( b ) .
If Rolle's Theorem can be applied, find all values of c in the open interval ( a , b ) such that f ′ ( c ) = 0 . (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
c =
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