Mean Value Theorem for Continuous Functions - Page 3
Questions
- How do you use the Intermediate Value Theorem to show that the polynomial function #x^3 - 2x^2 + 3x = 5# has a zero in the interval [1, 2]?
- Using the principle of the mean-value theorem on the indicated interval, how do you find all numbers c that satisfy the conclusion of the theorem for #f(x) = 5(1 + 2x)^(1/2)# in the interval [1,4]?
- If #f(x)= abs((x^2-12)(x^2+4))#, how many numbers in the interval #-2<=x<=3# satisfy the conclusion of the Mean Value Theorem?
- How do you verify that the hypotheses of rolles theorem are right for #f(x)= x sqrt(x+2)# over the interval [2,4]?
- How do you determine all values of c that satisfy the mean value theorem on the interval [0, 2] for #y = x^3 + x - 1#?
- How do you use the Intermediate Value Theorem to show that the polynomial function # f(x) = x^2 − x + 1# has a root in the interval [-1, 6]?
- Round 25 to the nearest percent?
- Given the function #f(x)=(x^2-1)/x#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [-1,1] and find the c?
- The function #f(x) = tan(3^x)# has one zero in the interval #[0, 1.4]#. What is the derivative at this point?
- Given the function #f(x)=x^3-9x#, how do you determine whether f satisfies the hypotheses of the Mean Value Theorem on the interval [-1,1] and find the c?
- Given the function #f(x)=x/(x+9)#, 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 find the number c that satisfies the conclusion of the Mean Value Theorem for the function #f(x)=x^3 - 2x + 1# on the interval [0,2]?
- Using mean value theorem show that: #x< sin^-1x#, for #x>0#?
- How do you find all numbers c that satisfies the conclusion of the Mean Value Theorem for the function #f(x)=9x^2+6x+4# in the interval [-1,1]?
- How do you use the Intermediate Value Theorem to show that the polynomial function # 2x^3 + x^2 +2# has a root in the interval [-2, -1]?
- How do you verify that the hypothesis of the Mean-Value Theorem are satisfied on the interval [2,5], and find all values of c in the given interval that satisfy the conclusion of the theorem for #f(x) = 1 / (x-1)#?
- How do you determine whether the mean value theorem applies to #f(x)=3x-x^2#?
- How do we find whether the function #f(x)=cosx-x^2# has a root between #x=pi/4# and #x=pi/3# or not?
- How do you determine all values of c that satisfy the conclusion of the mean value theorem on the interval [0,1] for #f(x) = (x)arcsin(x)#?
- How do I use the Mean Value Theorem to so #4x^5+x^3+2x+1=0# has exactly one real root?