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3. Confirm if Role's Theorem can be applied to the following function: (x - 3 x) at the open interval (0, 1) where f '(c)

3. Confirm if Role's Theorem can be applied to the following function: (x - 3x) at the open interval (0, 1) where f '(c) = 0.

a. 3 / 3

b. 3 / 9

c. - 3 / 9 , 3 / 9

d. 0, 3 / 9

4. Confirm if the Mean Value Theorem can be applied to the function f(x) = (x + 1 / x) at the open interval (1 / 2, 2).

I. Calculate (f (2) - f (1 / 2)) / (2 - 1 / 2).

II. Find the values of c at the open interval (1 / 2, 2) where f ' (c) = (f (2) - f (1 / 2)) / (2 - 1 / 2).

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