5. [-/2 Points] DETAILS LARCALC11 3.2.019. MY NOTES PRACTICE ANOTHER Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) {(x) = 7 sin x, [0, 2m] O Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. O 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= Need Help? Read It Which It 6. [-/4 Points] DETAILS LARCALC11 3.2.029. MY NOTES PRACTICE ANOTHER The height of a ball + seconds after it is thrown upward from a height of 7 feet and with an initial velocity of 48 feet per second is f (t) = -16+ + 48t + 7. (a) Verify that f(1) = ((2). f (1) = ft F (2) = ft (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 2)? ft/sec Find that time. t = Need Help? Read It Which It8. [-/2 Points] DETAILS LARCALC11 3.2.047. MY NOTES PRACTICE ANOTHER Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) ((x) = 7 sin x, [0, m] O Yes, the Mean Value Theorem can be applied. O No, f is not continuous on [a, b]. O No, f is not differentiable on (a, b). O None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f (c) = _ = f (6) - f(2), (Enter your answers as a comma-separated list. If the Mean Value Theorem b - a cannot be applied, enter NA.) Need Help? Read It 9. [-/11 Points] DETAILS LARCALC11 3.2.059.SBS. MY NOTES PRACTICE ANOTHER A plane begins its takeoff at 2:00 p.m. on a 1960-mile flight. After 4.4 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour. STEP 1: Let S(t) be the position of the plane. Let t = 0 correspond to 2 p.m., and fill in the following values. S(0) = = 1960 STEP 2: The Mean Value Theorem says that there exists a time to, , such that the following is true. (Round your answer to two decimal places.) s (t ) = V(t )= 1960 - -0 STEP 3: Now V(0) = , and v(4.4) =[ , and since v(t ) = .we have 0