calc

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.

f(x)=sin4pix , [-1/2,1/2]

Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is and differentiable on (a,b) and it is too. Not so sure about f(a)=f(b).

Then I got the derivative = cos(4pix)4pi

I don't know what to do from there on.. Please help!

  1. 👍 0
  2. 👎 0
  3. 👁 124
asked by Julia

Respond to this Question

First Name

Your Response

Similar Questions

  1. calc

    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. f(x)= x sqrt(x+21) , [-21,0] If there is more than one

    asked by Jossy on April 12, 2007
  2. URGENT!! PLEASE Calc

    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. f(x)=sin4pix , [-1/2,1/2] Well according to Rolle's

    asked by Julia on April 14, 2007
  3. math

    Verify that the function f(x)=x^3-6x^2+8x+4 satisfies the three hypotheses of Rolle's Theorem on the given interval [0,4]. Then find all numbers c that satisfy the conclusion of Rolle's Theorem

    asked by Kay on June 1, 2013
  4. 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) =

    asked by Anonymous on May 11, 2018
  5. Calculus 1

    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) =

    asked by TayB on October 24, 2015
  6. calc

    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) = x^3

    asked by sam on March 26, 2015
  7. math

    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) = 5 −

    asked by sara on March 23, 2015
  8. Calculus

    verify that the function satisfies the three hypotheses of rolle's theoreom on the given interval then find all numbers c that satisfy the conclusion of rolle's theorem. 1) 5-12x+3x^2 [1,3]

    asked by Anonymous on October 30, 2010
  9. math

    Question Part Points Submissions Used 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

    asked by joe on October 17, 2012
  10. calculus

    Consider the function f(x) = x^3-3x^2+2x-18 on the interval [ 0 , 2 ]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval: f(x) is ___on[0,2] f(x) is ___ on (0,2) and f(0)=f(2)=____ then by

    asked by sze on January 26, 2018

More Similar Questions