Mean Value Theorem for Continuous Functions - Page 4
Questions
- How do you determine if rolles theorem can be applied to #f(x) = 2x^2 − 5x + 1# on the interval [0,2] and if so how do you find all the values of c in the interval for which f'(c)=0?
- Can the mean value theorem be applied to #f(x) = 2(sqrt x) + x# on the interval [1,4]?
- Given the function #f(x)=(x^2-9)/(3x)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,4] and find the c?
- How do you use the Intermediate Value Theorem to show that the polynomial function #F(x)=x^3+2x+1 # has a root in the interval [-2, 1]?
- How do you determine if rolles theorem can be applied to #sqrt(x) - 1/5x # on the interval [0,25] and if so how do you find all the values of c in the interval for which f'(c)=0?
- Given the function #f(x)=-x^3+4x^2-3#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [0,4] and find the c?
- Given the function #f(x)=(x+1)/x#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1/2, 2] and find the c?
- How do you find all numbers c that satisfy the conclusion of the mean value theorem for #f(x) = sqrt(1-x^2)# on the interval [0-1]?
- How do you use the Intermediate Value Theorem to show that the polynomial function # [cos (t)] t^3 + 6sin^5(t) -3=0# has a root on the interval (0,2pi)?
- How do you determine all values of c that satisfy the conclusion of the mean value theorem on the interval [-1, 23] for #f(x)=1/sqrt(x+2)#?
- How do you find a number c that satisfies the conclusion of the theorem for the function #f(x) = x^2 - 3x + 1# on the interval [-1,1]?
- Given the function #f(x)=-(-5x+25)^(1/2_#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [3,5] and find the c?
- How do you find all values of c that satisfy the mean value theorem for #f(x) = x^2# on the interval [-1,1]?
- How do you determine all values of c that satisfy the mean value theorem on the interval [1,3] for # f(x)= ln x^2#?
- How do you use the mean value theorem to prove that #sinx-siny = x-y#?
- How do youfFind the value of c guaranteed by the mean value theorem for integrals #f(x) = - 4 / x^2# on the interval [ 1, 4 ]?
- #x^3+24x-16# [0,4] verify mean value theorem?
- Given the function #f(x) = 2x^2 − 3x + 1#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [0,2] and find the c?
- Given the function #f(x)=5sqrt(25-x^2)#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [0,5] and find the c?
- Given the function # f(x) = 9/x^3#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [1,3] and find the c?