Consider the function
f(x)=ax(25-x)on the interval
0,25, where
ais a positive real number. a. Find the average value of
fas a function of a. b. Find the points at which the value of
fequals its average value, and prove that they are independent of a. a. The average value of
fas a function of
ais
/bar (f)=
◻(Type an exact answer.)