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(Solved): Consider the function f(x)=ax(25-x) on the interval 0,25, where a is a positive real number. a. Find ...



Consider the function

f(x)=ax(25-x)

on the interval

0,25

, where

a

is a positive real number. a. Find the average value of

f

as a function of a. b. Find the points at which the value of

f

equals its average value, and prove that they are independent of a. a. The average value of

f

as a function of

a

is

/bar (f)=

(Type an exact answer.)



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