Hello tutor I need help with these question:

1. Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)

f(x) = x + 2 sin(x), 0 x

Increasing:

Decreasing:

2. Determine whether Rolle's Theorem can be applied to f on the closed interval

[a, b]. (Select all that apply.)

f(x) = x^2/3 ? 1, [?64, 64]

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 =

3.

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