5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book April 11, 2018 16:20

AP Calculus AB Practice Exam 2 377

Section I Part A

Number of Questions Time Use of Calculator

30 60 Minutes No

Directions:

Use the answer sheet provided on the previous page. All questions are given equal weight. Points willnotbe
deducted for incorrect answers, and no points will be given to unanswered questions. Unless otherwise indicated,
the domain of a functionf is the set of all real numbers. The use of a calculator isnotpermitted in this part of
the exam.

1.

∫ 8

0

x^2 /^3 dx

(A)

1

3

(B)

96

5

(C)

4

3

(D) −

1

3

2. The limx→ 0
   2 −2 cosx
   x
   is:
   (A) − 1 (B) 0
   (C)

1

2

(D) 2

3. What is the lim
   x→− 2

f(x), if

f(x)=

{

|x− 1 | ifx>− 2

2 x+7ifx≤− 2?

(A) − 3 (B) 1

(C) 3 (D) 11

4. The graph off′is shown below.

ab 0

y

x

f′

Which of the graphs below is a possible graph

off?

abx

y

0

ab

x

y

0

(A)

(C)

ab

x

y

0

(D)

abx

y

0

(B)

5.

∫x

π/ 2

2 costdt=

(A) 2 cosx (B) −2 cosx

(C) 2 sinx (D) 2 sinx− 2

6. Given the equationy= 3 e−^2 x, what is an
   equation of the normal line to the graph at
   x=ln 2?

(A) y=

2

3

(x −ln 2)+

3

4

(B) y=

2

3

(x+ln 2)−

3

4

(C) y=−

3

2

(x −ln 2)+

3

4

(D) y=−

3

2

(x −ln 2)−

3

4

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