Please answer both questions. 4. 214 point Previous Answers LarCalc10 3.2.017 De
ID: 2854803 • Letter: P
Question
Please answer both questions.
4. 214 point Previous Answers LarCalc10 3.2.017 Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. Select all that apply.) f(x) 22 in x, 0, 21T] M Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, bl. No, because fis not differentiable in the open interval (a, b). No, because f(a) f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f (c) o. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) Need Help? Read It watch It Talk to a Tutor 5. 214 point I Previous Answers LarCalc10 3.2.018 Determine whether Rolle's Theorem can be applied to fon the closed interval [a, bl. Select all that apply.) f(x) cos x, 0, 2T] No, because f is not continuous on the closed interval [a, bl. O No, because f is not differentiable in the open interval (a, b). No, because f (a) f (b) If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) o. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)Explanation / Answer
4) 2sin(x) [0,2pi]
f(0) = 2sin(0) = 0
f(2pi) = 2sin(2pi) = 0
hence f(a)=f(b) = 0
rolles theorem can be applied
f'(c) = f'(2sinx) = 2cosx
f'(x)= 0
2cos x = 0
therefore 2x= pi/2
x = pi/4