Explanation - Calculus for the Social Sciences - Key, Exams of Calculus

This is the Key of Calculus for the Social Sciences which includes Total Cost Function, Explanation, Statements, Compute Limits, Shifting, Function, Relative Extremum etc. Key important points are: Explanation, Necessary, Odd Function, Graph, Symmetric, Origin, Real, Graph, Translated, Real Number

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2012/2013

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Simon Fraser University
Department of Mathematics
Burnaby Campus
MATH 157-3, 1107
Midterm 1
October 6th, 2010, 11:30 – 12:20
PROVIDE THIS DATA AS IT APPEARS ON WebCT!
Last Name (please print): _________________________________________
First Name (please print): _________________________________________
SFU Student Number: _________________________________________
SFU email ID: ____________[email protected]
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 8 pages with a total of
7 questions. When instructed, please check
to make sure your exam is complete.
4. Only the usual writing instruments, this
booklet, and an acceptable calculator shall
be within your reach.
5. If you run out of space in a problem, use
the space on the back of the cover page
and clearly indicate where the solution
continues.
6. Only scientific with no graphing, and
programming capabilities are allowed.
7. All other electronic devices must be turned
off and out of reach.
8. Speaking to, communicating with, or
deliberately exposing written papers to the
view of other examinees is forbidden.
9. Full marks will be reserved for answers
that are correct in all essential details
and could be understood by another
student without due effort.
10. You must stop writing when time is called.
Do not write in this table!
Question Marks
1 /4
2 /3
3 /3
4 /6
5 /5
6 /5
7 /4
Total /30
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Simon Fraser University

Department of Mathematics

Burnaby Campus

MATH 157 -3, 1107

Midterm 1

October 6

th , 2010, 11:30 – 12:

PROVIDE THIS DATA AS IT APPEARS ON WebCT!

Last Name (please print): _________________________________________

First Name (please print): _________________________________________

SFU Student Number: _________________________________________

SFU email ID: [email protected]

Instructor: P. Menz

Instructions:

  1. DO NOT OPEN THIS BOOKLET UNTIL

TOLD TO DO SO.

  1. Fill in the above box.
  2. This exam contains 8 pages with a total of

7 questions. When instructed, please check to make sure your exam is complete.

  1. Only the usual writing instruments, this

booklet, and an acceptable calculator shall

be within your reach.

  1. If you run out of space in a problem, use

the space on the back of the cover page

and clearly indicate where the solution

continues.

  1. Only scientific with no graphing, and

programming capabilities are allowed.

  1. All other electronic devices must be turned

off and out of reach.

  1. Speaking to, communicating with, or

deliberately exposing written papers to the

view of other examinees is forbidden.

9. Full marks will be reserved for answers

that are correct in all essential details

and could be understood by another

student without due effort.

  1. You must stop writing when time is called.

Do not write in this table!

Question Marks

Total /

(intentionally blank)

2. The supply and demand equations for a certain product are given by

2 p   x  2 x  100 and p  8 x  25 , where x represents the quantity demanded

in units of a thousand and p the unit price in dollars. Find the equilibrium

quantity and the equilibrium price. (textbook exercise 2.8 #20) [3 marks]

3. Use the graph of yg x ( )below to graph the transformed function

yg x (  4)  5. (textbook exercise 2.2 #10) [3 marks]

4. Let

2 4 if 2 ( ) (^2)

if 2

x x f x (^) x

k x

a) For what value of k will f be continuous on   , ? (textbook exercise 3.

#78) [3 marks]

b) Sketch the labeled graph of f in the coordinate system below when k  2.

[3 marks]

  1. Describe the following limits in terms of a real number, ,   , or DNE (does

not exist). Show your work. [1+2+2 marks]

a) 1 3

lim x (^) 2 x 1

 (^) 

b) 3

lim x 3

x

x

c)

2

2

lim x 5 3

x

 x x

  1. Use the definition of the derivative to calculate f (12)^ for f ( ) xx  8.

[4 marks]