The function f(x) is differentiable, continuous, and f(x) ≠ 0 for all values of x in the interval [4, 8]. Calculate f(6) given that f(4) = 1/4, f(8) = 1/2,
For some positive integer k both 4^k and 5^k start with the same digit x in base 10 i.e. 4^k = x..... 5^k = x..... What is the sum of all possible values of x.
The function f (x) = | x - 2 | + | 2.5 - x| + |3.6 -x|, where x is a real number, attains a minimum at ??
Solve for positive real values of x such that:
