98 Part I: The Questions
748–749 Use the average value formula.
748. For the function f
 
(x) = x sin x on the
interval 0 2
, π

 

 
, find the average value.
749. For the function y x
=
on the interval
0 4
, π

 

 
, find the average value.
744. Find all numbers d such that the average
value of f
 
(x) = 3 + 6x – 9x
2
on [0, d] is equal
to –33.
745. Find all values of c in the given interval
such that f avg = f
 
(c) for the function
f x
x
x
( ) =
+
(
)
4
1
2
2
on [1, 3].
746. Find all values of c in the given interval
such that f avg = f
 
(c) for the function
f x
x
( ) = 1 on [4, 9].
747. Find all values of c in the given interval
such that f avg = f
 
(c) for the function
f
 
(x) = 5 – 3x
2
on [–2, 2].