13. The fundamental period of 2cos(3)xis
(A) 23(B) 2S(C) 6S(D) 2 (E) 3
S
14. 23
3
1
x
dx
x
µ
³
15. For what value of xdoes the function 2( )(2)(3)f xxx±±have a relative maximum?
16. The slope of the line normalto the graph of 2ln(sec )yxat 4xSis

AP Calculus Multiple-Choice Question Collection
82
Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com.
1993 AP Calculus AB: Section I
17. 22(1)xdxµ³
(A) 23(1)3(B) 23(1)6(C) (D) 232 (1)3(E) 53253
x
C
µ
µ
x
C
x
µ
µ
2
3
3
x
x
C
§
·
µ
µ
¨
¸
¨
¸
©
¹
x x
C
µ
µ
x
x
x
C
µ
µ
µ
18. If ( )sin2
x
f x
§
·
¨
¸
©
¹
, then there exists a number
c
in the interval
3
2
2
x
S
S
´
´
that satisfies the
conclusion of the Mean Value Theorem. Which of the following could be
c
?
S
S
S
S
19. Let fbe the function defined by 3for 0,( )for 0.
x
x
f x
x
x
d
°
®
!
°
¯
Which of the following statements
about
f
is true?

AP Calculus Multiple-Choice Question Collection
83
Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com.
1993 AP Calculus AB: Section I
20. Let Rbe the region in the first quadrant enclosed by the graph of
1
3
(
1)
y
x
µ
, the line
7
x
,
the
x-
axis, and the
y
-axis. The volume of the solid generated when
R
is revolved about the
-axis
y
is given by
2
7
3
0
(
1)
x
dx
S
µ
³
1
7
3
0
2
(
1)
x x
dx
S
µ
³
2
2
3
0
(
1)
x
dx
S
µ
³
1
2
3
0
2
(
1)
x x
dx
S
µ
³
21. At what value of xdoes the graph of 23
1
1
y
x
x
±
have a point of inflection?
(A) 0 (B) 1 (C) 2 (D) 3 (E) At no value of x
22. An antiderivative for 2
1
2
2
x
x
±
µ
is
x
x
±
µ
23. How many critical points does the function 54( )(2) (3)f xxxµ±have?
24. If
2
2
3
( )
(
2
1) ,
f x
x
x
±
±
then
(0)
f
c
is

AP Calculus Multiple-Choice Question Collection
84
Copyright © 2005 by College Board. All rights reserved. Available at apcentral.collegeboard.com.
1993 AP Calculus AB: Section I

#### You've reached the end of your free preview.

Want to read all 243 pages?

- Fall '14
- Calculus, Derivative, Continuous function, Natural logarithm, Logarithm