2
, then the graph of f has inflection points when x
7. If
f
x
x x
1
x
2
(A) 1
only
(B) 2 only
(C) 1
and 0 only
(D) 1
and 2 only
(E) 1
, 0, and 2 only
k
2
8. What are all the values of k for which
x dx
?
0
3
(A) 3
(B) 0
(C) 3
(D) 3
and 3
(E) 3
, 0, and 3
x
3
9. The average value of the function
f x
2
e
on the interval
1, 6 is
3
3
2
3
2
e
e
e
e
e
2
2
3
2
3
5
e
e
e
e
(A)
(B)
2
2
(C)
(D)
(E)
3
3
3
5
5
10. A rectangle has its base on the x-axis and both its other vertices on the positive portion of the parabola
2
y
x
. What is the maximum possible area of this rectangle?
3 4
3
3 6
3 15
3 15
(A)
(B)
(C)
(D) 2
(E)
2
4
5
10