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3. [-/8 Points] DETAILS LARCALC11 3.1.017.MI. Find the critical numbers of the function. (Enter your answers as a comma-separated list.) F( x ) = 6x2 - BX Submit Answer 4. [-/9 Points] DETAILS LARCALC11 3.1.029. Find the absolute extrema of the function on the closed interval. y = 3x2/3 - 2x, [-1, 1] minimum (x, y ) = maximum ( x , y ) = Submit Answer 5. [-/8 Points] DETAILS LARCALC11 3.2.015. Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) F(x) = x2/3 - 4, [-64, 64] Yes, Rolle's Theorem can be applied. O 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. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) C = Submit Answer 6. [-/9 Points] DETAILS LARCALC11 3.2.029. The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 64 feet per second is f (t) = -16+ + 64t + 6. (a) Verify that R(1) = R(3). F (1) = F (3 ) = b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? A /sec Find that time