Use a graphing utility to graph the function on the closed interval [a, b]. f(x)
ID: 2860859 • Letter: U
Question
Use a graphing utility to graph the function on the closed interval [a, b]. f(x) = x/2 sin(pix/6), [-1,0] Determine whether Rolle's Theorem can be applied to f on the interval. (Select all that apply.) 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) notequalto 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. Round your answers to four decim places. If Rolle's Theorem cannot be applied, enter NA.) c =Explanation / Answer
at x=6 y=3.only in b it is true.
function is clearly continous.
f(-1)=f(0)=0 so clearly rolles theorem can be applied.
f'(x)=0 we get c=6/pi(cos-1(3/pi))
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