A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
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CALCULUS AB
SECTION I, Part A
Time—55 minutes
Number of
...
A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
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CALCULUS AB
SECTION I, Part A
Time—55 minutes
Number of questions—28
A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM.
Directions: Solve each of the following problems, using the available space for scratch work. After examining the
form of the choices, decide which is the best of the choices given and fill in the corresponding circle on the answer
sheet. No credit will be given for anything written in the exam book. Do not spend too much time on any one
problem.
In this exam:
(1) Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which
f x ( ) is a real number.
(2) The inverse of a trigonometric function f may be indicated using the inverse function notation f -1 or with the
prefix “arc” (e.g., sin arcsin -1 x = x ).A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
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1. If y x = cos 2 , then dy =
dx
(A) -2sin 2x (B) -sin 2x (C) sin 2x (D) 2sin 2x (E) 2sin x
2. Ú x x dx 2 3 ( ) - 1 10 =
(A)
10
3 4
3 4
Ê ˆ
x x Á ˜ Ë ¯ - + x C
(B)
( ) 3 1 11
11
-
+
x
C
(C)
2 3 ( ) 1 11
11
-
+
x x
C
(D)
( ) 3 1 11
33
-
+
x
C
(E)
3 3 ( ) 1 11
33
-
+
x x
CA A A A A A A A A A A A A A A A A A A A A A A A A A A A A A A
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-5-
3.
4
2
9 1
lim
x 4 3
x
Æ• x
++
is
(A) 1
3 (B) 34 (C) 23 (D) 94 (E) infinite
4. If y = ( ) x x+ 1 5 , then dx dy =
(A) 5 1 ( ) + x 4 (B)
( )
4
4
+ 1
x
x
(C)
(
4
4
5
+ 1
x
x )
(D)
(
4
6
5
+ 1
x
x )
(E) (
( )
4
6
5 2 1
1
+
+
x x
x
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