Math 1010U Calculus I
Midterm 2:
November 22, 2011
First Name
Last Name
Student Number
Signature of Student
Name of TA
Instructions:
Use a pen to fill in the front page.
All midterm answers should be written in ink.
No whiteout is allowed.
If a midterm is written in pencil, you will not be
allowed to resubmit questions for remarking.
A nonprogrammable, nongraphing calculator is allowed.
A formula sheet is provided on the last page of this exam.
There are 9 questions on this exam.
Attempt all questions.
SHOW ALL OF
YOUR WORK
.
Answer the questions in the space provided; if you need more
space, use the back of the paper, or the extra space on the last page.
Question #
Points Available
Points Earned
1
10
2
4
3
4
4
5
5
4
6
7
7
5
8
5
9
6
Total
50
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View Full DocumentCalculus I Midterm 2
November 22, 2011
2
1. (Total 10 marks)
Answer each question in the space provided.
Do NOT simplify
your answer.
a)
Find
dx
dy
of the function
)
cos(
3
2
y
x
y
x
y
(3 marks)
b)
If
x
x
y
2
cos
)
(ln
, find
y
(3 marks)
c)
Find
2
5
7
3
)
tanh(
)
arctan(
x
e
x
x
dx
d
x
x
(2 marks)
d)
If
2
3
2
)
2
3
(
)
9
5
(
)
(
x
x
x
x
f
, find
)
(
x
f
(2 marks)
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 Spring '08
 Mihai
 Calculus, dx, Hyperbolic function

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