Find the average value of the function f(x) = 10x - 5x² on the interval [0,2] and determine a number c in this interval for which f(x) is equal to the average value.
a. Average value = 0; c = 1
b. Average value = 5/3; c = 2/3
c. Average value = 5; c = 0
d. Average value = 5/2; c = 1/2