Question number 8. Determine if Rolle's Theorem applies to the function f (ac ) = 2 sin(2 ac ) on the interval [0, 27]. If so, find all numbers c on the interval that satisfy the theorem. Oc = T and 27 TT 3TT 5TT 7 1 Oc = 4' 4 ' 4 and 4 O Rolle's Theorem does not apply to this function on the given interval. 37 OC = and 2 OC = and 4Question number 7. Ox = 0, = = V3 Determine if Rolle's theorem applies to the function g(a) = 8:4 - 3x2 on the interval [-3, 3]. If it does, find all values c on that interval that satisfy the conclusion of the Rolle's Theorem. 4 Ox = 0, r= V6 6 4 4 Of = 0, D = V3 /3 4 , D = O Rolle's Theorem does not apply. Or = 0, a = V6 4 O None of the above.Question number 6. Determine if Mean Value Theorem applies to the function f(a) = 5x3 - 3x on the interval [0, 3]. If it does, find all values of c on that interval that satisfy the conclusion of this theorem. O MVT does not apply. 01 05 V3 03 V3 O V3 O None of the above