Question: 3a) Apply the mean value theorem to the function f(a) = x4 - x2 on the interval [-1,1]. i) State why it can be applied,

3a) Apply the mean value theorem to the function f(a) = x4 - x2 on the interval [-1,1]. i) State why it can be applied, that is, why f (a) satisfies the hypothesis of the theorem.(3 pts) ii) Find all the points where theorem is satisfied. (Remember, the theorem guarantees at least one point, but there may be more than one.) (10 pts) 3b) Consider the function f (ac) = 1 - |ac|. i) Can you apply the mean value theorem to f (@) on the interval [2,5]? Why or why not? (4 pts) ii) Can you apply the mean value theorem to f (x) on the interval [-6,6]? Why or why not? (4 pts) iii) Can you apply the mean value theorem to f (x) on the interval [-13,-5]? Why or why not? (4 pts)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
