4. [-/4 Points] DETAILS LARCALC11 3.R.008. Find the absolute extrema of the function on the closed interval. (Order your answers from smallest to largest x, then from smallest to largest y.) Fx) - sin(2x), [0, 2x] minimum (x , v ) = ( x. V ) = ( maximum (x. v) = ( ( x , y ) = 5. [-/2 Points] DETAILS LARCALC11 3.R.009. Determine whether Rolle's Theorem can be applied to fon the closed interval [3, b]. (Select all that apply.) Ax) = x - 12x - 6, [-2. 4 ] 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) * R(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that F'(c) = 0. If Rolle's eorem cannot be applied, explain why not. (Enter your ans heorem cannot be applied, enter NA.) C = 6. [-/2 Points] DETAILS LARCALC11 3.R.011. Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) x 2 A x ) - -1 9 - X' [-10, 10] Yes, Rolle's Theorem can No, because f is not continuous on the closed interval [a, b]. ONo, because f is not differentiable in the open interval (s, b) No, because Ra) + ((b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) - 0. If Rolle's Theorem cannot be applied, explain why not. (Enter your answers as a comma separated list. If Rolle's Theorem cannot be applied, enter NA.) Submit Assignment Save Assignment Progress