f(x) is continuous on [pi/2, pi]
f(x) is deliverable on (pi/2, pi)
f(pi/2)=f(pi)=1
So f'(x)=2cosx*(-sinx)+cosx=-2sinx.cosx+cosx
There must be a point in [pi/2, pi] where f'(x)=0
So -2sinx.cosx+cosx=0
Or cosx(-2sinx+1)=0
So cosx=0 or sinx=1/2
So x is pi/2 or pi/6
so point is pi/6
Determine whether Rolle's Theorem can be applied to f(x) = cos(x) + sin(x) on the interval...
Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. (Select all that apply.)f (x) = sin(x), [0, 2π]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.)I thought the derivative would be cos(x) so then cos(0) would be 1 but thatz wrong so now I don't understand...
Determine whether the Mean Value Theorem can be applied to f on the closed interval (a, b). (Select all that apply.) f(x) = 16 - xl, [3, 7] Yes, the Mean Value Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open...
a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval (-3, 2] 3-X b) Find the absolute maximum and minimum values of function f(x)= (1+x?)Ě over the interval [-1,1] c) Find the following for the function f(x) = 2x – 3x – 12x +8 i) Intervals where f(x) is increasing and decreasing. ii) Local minimum and local maximum of f(x) iii) Intervals where f(x) is concave up and concave down. iv) Inflection point(s). v)...
how do i solve this with Mean Theorem Value? 4. 0.5/1 poilnts 1 Previous Anawars LarCal: 11 3.2 020 Determine whether Rolle's Theorem can be applied to f on the closed interval bl. (select all that apply.) Yes O No, because fis not continuous on the closed Interval [a, bl ND, hecause fis rnot differentiable in the open interval (a, b). No, because ) If Ralle's Theorem can be applied, find all values of cin the open interval (a, b)...
Please help! Verify that Rolle's Theorem can be applied to the function f (x) = 2,3 - 1022 +312 – 30 on the interval (2,5). Then find all values of c in the interval such that f'(c) = 0. Enter the exact answers in increasing order. To enter Vā, type sqrt(a).
Verify that Rolle's Theorem can be applied to the function f(x) = -10 + 310 - 30 on the interval 2,5). Then wyd all Question 1: (6 points) values of c in the interval such that f'(c) - 0. Enter the exact answers in increasing order. To enter a type sqrt(a). Please explain, in your own words and in a few sentences, how you arrived at your answers.
Determine whether the Mean Value Theorem can be applied to fon the closed interval (a, b). (Select all that apply.) RX) - 17 - xl. 14,8) Yes, the Mean Value Theorem can be applied. No, because fis not continuous on the closed interval [a, b]. No, because is not differentiable in the open interval (a, b). None of the above. (Ь) - Ka) ba If the Mean Value Theorem can be applied, find all values of c in the open...
2. Determine whether Rolle's Theorem applies to the function f(x) = x(x - 1)?: [0,1]
Determine whether the Mean Value theorem can be applied to fon the closed interval [a, b]. (Select all that apply.) F(x) - 2 - X. [-7,2) Yes, the Mean Value Theorem can be applied. No, because fis not continuous on the dosed interval (a, b). No, because is not differentiable in the open interval (a, b). None of the above. of the Mean Value Theorem can be applied, find all values of e in the open interval () such that...
I-1 12. Determine whether The Mean Value Theorem can be applied to f(x) = 1+1 on the interval (-2, -1). If The Mean Value Theorem can be applied, find all values c that satisfy the conclusion of the theorem.