MATH 2242 (Dr. Ngai) Calculus II Fall 2017 Exam 1
September 22, 2017
NAME
SCORE
/31=
/100
INSTRUCTIONS:
1. Show ALL your work in the space provided. 2. Use the indicated method(s)
for each problem; other methods may receive NO credit. 3.
Calculators CANNOT be used.
4.
This exam covers Sections 7.1–7.5.
Part A.
(21+2 pts) Multiple Choice. 1. Show All your work in order to receive partial credit (maximum
of 2 points for each question) when your answer is wrong. 2. Write down your answer to each question
at the end of this section. 3. Each question carries 3 points.
1. Let
f
(
x
) =
x
3
+ 2
x

2. Evaluate (
f

1
)
0
(

2), given that

2 =
f
(0).
2. Evaluate
Z
e
x
5 +
e
x
dx
.
1
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3. If
y
=
9
r
x
+ 2
x
+ 3
, ﬁnd
dy
dx
by
logarithmic diﬀerentiation
.
4. Let
y
=
e
csc
x
. Find
dy
dx
.
5. Evaluate
Z
e
sin
x
cos
xdx
.
3
A) 9
x
2
B) 2
x
2
3
x

1
C) 3
x

1
x
2
(9 +
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 Calculus

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