Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = −x2 + 6x, [0, 6] 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 =

Step-by-step explanation:

We are given that: on the closed interval: [0,6]

Rolle's Theorem holds if the following conditions are satisfied:

Continuity of function

Since the function is a continuous function, it is continuous everywhere. Therefore, f(x) is continuous in [0,6]

Differentiability of function

The polynomial is differentiable on [0,6] since

Next, we evaluate f(0) and f(6)

Next, we determine if c is in (a,b)

Therefore, c=3 is in (0,6)

the correct answer is d

hope this

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: