Let for
. We know the average of
on
is
. Find a nonnegative function
such that the weighted average of
on
is
-
,
-
,
-
,
First, we recall that given functions



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- Let
, then
- Let
, then
- Let
, then
Let for
. We know the average of
on
is
. Find a nonnegative function
such that the weighted average of
on
is
How do you solve for w?