410 STEP 5. Build Your Test-Taking Confidence
- If
∑∞
k= 0
bkconverges and 0<ak≤bkfor allk,
which of the following statements must be
true?
(A)
∑∞
k= 0
akdiverges
(B)
∑∞
k= 0
akconverges
(C)
∑∞
k= 0
2 akdiverges
(D)
∑∞
k= 0
(− 1 )kbkdiverges
- If
∫
xsec^2 xdx=f(x)+ln|cosx|+C, then
f(x)=
(A) tanx
(B)
1
2
x^2
(C) xtanx
(D) x^2 tanx
- A solid has a circular base of radius 1. If every
plane cross section perpendicular to thex-axis
is a square, then the volume of the solid is
(A)
16
3
(B)
8
3
(C) 4 π
(D)
16 π
3
- Ifnis a positive integer, then
nlim→∞
1
n
[(
1
n
) 2
+
(
2
n
) 2
+···
(
n− 1
n
) 2 ]
=
(A)
∫ 1
0
1
x^2
dx
(B)
∫ 1
0
x^2 dx
(C)
∫ 1
0
2
x^2
dx
(D)
∫ 1
0
1
x
dx
(E)
∫ 2
0
x^2 dx
- The area enclosed by the parabolay=x−x^2
and thex-axis is revolved about thex-axis. The
volume of the resulting solid is
(A)
1
30
(B)
1
6
(C)
π
30
(D)
π
15
STOP. AP Calculus BC Practice Exam 2 Section I Part A
