Math

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 how to do this!

  1. 👍 0
  2. 👎 0
  3. 👁 615
  1. you are correct in that cos(x) is the derivative. So, you need to show that there is at least one value of c in [0,2pi] such that cos(c) = 0.

    That would be pi/2 and 3pi/2.

    1. 👍 0
    2. 👎 0
  2. THNKS :)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) =

  2. Calculus

    1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[-4,-2]. If Rolle's Theorem can be

  3. math

    Let f be the function with f(0) = 1/ (pi)^2, f(2) = 1/(pi)^2, and the derivative given by f'(x) = (x+1)cos ((pi)(x)). How many values of x in the open interval (0, 2) satisfy the conclusion of the Mean Value Theorem for the

  4. Calculus

    The function f is continuous on the closed interval [-5,5], and f(-2) = 6, f(1) = -3, and f(4) = 6. Which of the following statements must be true? A. The equation f(x) = 0 has at least two solutions on the closed interval [-5,5].

  1. Calculus

    Rolle's theorem cannot be applied t the function f(x)= ln(x+2) on the interval [-1,2] because a) f is not differentiable on the interval [-1,2] b) f(-1)≠ f(2) c) All of these d) Rolle's theorem can be applied to f(x)= ln(x+2) on

  2. math

    Determine if the Mean Value Theorem for Integrals applies to the function f of x equals the square root of x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.

  3. Calculus

    Determine if Rolle's Theorem applies to the given function f(x)=2 cos(x) on [0, pi]. If so, find all numbers c on the interval that satisfy the theorem.

  4. Calculus

    Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. a) No, the theorem does not apply b)

  1. calculus

    If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that (4 points) If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5

  2. calculus

    Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = x^2/3 − 2, [−8, 8] 1) Yes, Rolle's Theorem can be applied. 2)No, because f is not continuous on the closed

  3. calculus

    Rolle's theorem cannot be applied to the function f(x) = x1/3 on the interval [–1, 1] because Answer Choices: f is not differentiable on the interval [–1, 1] f(–1) ≠ f(1) f is not differentiable on the interval [–1, 1]

  4. Calculus

    Verify the conditions for Rolle's Theorem for the function f(x)=x^2/(8x-15) on the interval [3,5] and find c in this interval such that f'(c)=0 I verified that f(a)=f(b) and calculated f'(x)= (8x^2 -30x)/64x^2 -240x +225) But I'm

You can view more similar questions or ask a new question.