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(Solved): Consider the function f(x)=ax(12-x) on the interval 0,12, where a is a positive real number. a. Fi ...
Consider the function
f(x)=ax(12-x)on the interval
0,12, 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.
