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Midterm 2 Exam for MATH 150 at Simon Fraser University, Fall 2006, Exams of Calculus

Amity University - BiharCalculus

A midterm exam for the math 150 course at simon fraser university, taught by dr. Mulholland in the fall of 2006. The exam consists of 5 questions worth a total of 40 points, covering topics such as calculus, derivatives, and graphs. Students are required to write their answers on the exam paper and are not allowed to use calculators or other electronic devices during the exam.

Typology: Exams

2012/2013

Uploaded on 02/18/2013

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SIMON FRASER UNIVERSITY
DEPARTMENT OF MATHEMATICS
Midterm 2
MATH 150 Fall 2006
Instructor: Dr. Mulholland
November 1, 2006, 8:30 – 9:20 a.m.
Name: (please print)
family name given name
SFU ID:
student number SFU-email
Signature:
Instructions:
1. Do not open this booklet until told to do so.
2. Write your name above in block letters. Write your
SFU student number and email ID on the line pro-
vided for it.
3. Write your answer in the space provided below the
question . If additional space is needed then use the
back of the previous page. Your final answer should
be simplified as far as is reasonable.
4. Make the method you are using clear in every case
unless it is explicitly stated that no explanation is
needed.
5. This exam has 5 questions on 8 pages (not includ-
ing this cover page). Once the exam begins please
check to make sure your exam is complete.
6. No calculators, books, papers, or electronic devices
shall be within the reach of a student during the
examination.
7. During the examination, communicating with,
or deliberately exposing written papers to the
view of, other examinees is forbidden.
Question Maximum Score
1 15
2 8
3 4
4 7
5 6
Total 40
pf3
pf4
pf5
pf8
pf9

Partial preview of the text

Download Midterm 2 Exam for MATH 150 at Simon Fraser University, Fall 2006 and more Exams Calculus in PDF only on Docsity!

SIMON FRASER UNIVERSITY

DEPARTMENT OF MATHEMATICS

Midterm 2

MATH 150 Fall 2006 Instructor: Dr. Mulholland November 1, 2006, 8:30 – 9:20 a.m.

Name: (please print) family name given name

SFU ID:

student number SFU-email

Signature:

Instructions:

  1. Do not open this booklet until told to do so.
  2. Write your name above in block letters. Write your SFU student number and email ID on the line pro- vided for it.
  3. Write your answer in the space provided below the question. If additional space is needed then use the back of the previous page. Your final answer should be simplified as far as is reasonable.
  4. Make the method you are using clear in every case unless it is explicitly stated that no explanation is needed.
  5. This exam has 5 questions on 8 pages (not includ- ing this cover page). Once the exam begins please check to make sure your exam is complete.
  6. No calculators, books, papers, or electronic devices shall be within the reach of a student during the examination.
  7. During the examination, communicating with, or deliberately exposing written papers to the view of, other examinees is forbidden.

Question Maximum Score

Total 40

[3] 1. (a) Compute f ′(x) if f (x) = (x^5 − 2 x^3 + 4)^7. You do not need to simplify your answer.

[3] (b) Compute g′(x) if g(x) =

cos x 1 + x^2

. You do not need to simplify your answer.

[3] (e) Find f ′(x) if it is known that

d dx

[f (2x)] = x^2.

2. True or False. If True provide an explanation, if False give justification (for instance

give an example for which the statement doesn’t hold).

[2] (a) If y = e^3 then y′^ = 3e^2.

[2] (b) If f is continuous at x = a then f is differentiable at x = a.

[2] (c) If f (x) =

2 x^3 + 5x − 1 4 x^3 − x^2 + 6x − 2

, then y = 12 is a horizontal asymptote.

[2] (d) If f (x) is an even function then f ′(x) is also an even function.

4. A particle moves on a horizontal line so that its coordinate at time t is

x(t) = t^3 − 12 t + 3, t ≥ 0.

[4] (a) Find the velocity and acceleration functions.

[2] (b) Determine when the particle is moving to the left and when it is moving to the right.

[1] (c) Determine when the particle is speeding up.