Means 2 a. Show that the point c guaranteed to exist by the Mean Value Theorem for f(x) = x on a+b [a, b] is the arithmetic mean of a and b; that is c = 2 . b. Show that the point c guaranteed to exist by the Mean Value Theorem for f(x) = on 1 x [a, b],where 0

Solution 34AE Step 1 In this problem we have to show that the point cguaranteed to exist by the Mean Value 2 1 Theorem for f(x) = x on [a,b] is arithmetic mean and for f(x) = on [ax b],where 0