MATH 152-3 Calculus II Midterm 2, Summer 2006, Exams of Calculus

A midterm exam for the calculus ii course offered by the department of mathematics at simon fraser university during the summer 2006 semester. The exam covers various topics in calculus, including indefinite integrals, the midpoint rule, and trigonometric substitutions. Students are required to solve multiple-choice questions and provide their workings. The exam consists of three questions, each worth different marks.

Typology: Exams

2012/2013

Uploaded on 02/18/2013

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Simon Fraser University
Department of Mathematics
Burnaby Campus
MATH 152-3, Calculus II
Summer 2006 – Midterm 2
July 5th, 2006, 8:30 – 9:20
Last Name (please print): _________________________________________
First Name (please print): _________________________________________
SFU email ID: _________________________________________
Instructor: P. Menz
Instructions:
1. DO NOT OPEN THIS BOOKLET UNTIL
TOLD TO DO SO.
2. Fill in the above box.
3. This exam contains 6 pages with a total of
3 questions. Once the exam begins please
check to make sure your exam is
complete.
4. SHOW ALL YOUR WORK!
5. If you run out of space in a problem, use
the space on the back of the previous page
and clearly indicate where the solution
continues.
6. No calculators are allowed.
7. No book, paper, or device, other than the
usual writing instruments, this booklet and
an acceptable calculator, shall be within
reach of a student during the examination.
8. During the examination, speaking to,
communicating with, or deliberately
exposing written papers to the view of
other examinees is forbidden.
Do not write in this table!
Question Marks
1 a),b) /6
1 c),d) /6
1 e),f) /6
2 /6
3 /16
Total /40
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pf4
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Simon Fraser University Department of Mathematics Burnaby Campus

MATH 152 -3, Calculus II Summer 2006 – Midterm 2 July 5th, 2006, 8:30 – 9:

Last Name (please print): _________________________________________

First Name (please print): _________________________________________

SFU email ID: _________________________________________

Instructor: P. Menz

Instructions:

  1. DO NOT OPEN THIS BOOKLET UNTIL TOLD TO DO SO.
  2. Fill in the above box.
  3. This exam contains 6 pages with a total of 3 questions. Once the exam begins please check to make sure your exam is complete. 4. SHOW ALL YOUR WORK!
  4. If you run out of space in a problem, use the space on the back of the previous page and clearly indicate where the solution continues.
  5. No calculators are allowed.
  6. No book, paper, or device, other than the usual writing instruments, this booklet and an acceptable calculator, shall be within reach of a student during the examination.
  7. During the examination, speaking to, communicating with, or deliberately exposing written papers to the view of other examinees is forbidden.

Do not write in this table!

Question Marks

1 a),b) (^) /

1 c),d) /

1 e),f) /

2 /

3 /

Total /

  1. Compute the following indefinite integrals and describe which methods you used. [3 marks each = 18 marks]

a) (^2)

dx

∫ x − x +

b) x^3^2 3 x 5 dx x

e)

(^0 ) 2 4 x dx

f)

(^1 ) 0 x e dx^ x

  1. Use Midpoint Rule with n = 3.

a) Approximate

(^6 ) 0

∫ x^ dx.^ [4 marks]

b) How large do you have to choose n so that the approximation in part a) is accurate to within 0.1? [2 marks]