Question

9. (-/7 Points] DETAILS LARCALCET7 4.2.048.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following function and closed interval. MX) -10% (1,9) Isf continuous on the closed interval (1,9]? Yes No Iff is differentiable on the open interval (1,9), find f'(x). (if it is not differentiable on the open interval, enter DNE.) ) - Find (1) and (9) R1) - R9) - Find b) - Ra) for (a, b) - (1,9). b) - RO) Determine whether the Mean Value Theorem can be applied to fon the closed interval (a, b). Select all that apply.) Yes, the Mean Value Theorem can be applied. No, is not continuous on (a, b). No, is not differentiable on (a, b). None of the above. If the Mean Value Theorem cannot be applied, explain why not (Enter your If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that Pc) - no Roy answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) Need Help? Red

Answer 1

10 . I By Mean value theorem there exists a point C where acc Lb such that tb -f(a) f(c) where aal b- a b=9 10 9 (6-10) " 6-10) ~ = 9 (6-10) = + 3 10 +3, 10-3 = 13,7 since 13 € [1,1 7 €[I, Hence 7. т т т т C = C = Ans: c = 7