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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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Simon Fraser University
Department of Mathematics
Burnaby Campus
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:
TOLD TO DO SO.
7 questions. When instructed, please check to make sure your exam is complete.
booklet, and an acceptable calculator shall
be within your reach.
the space on the back of the cover page
and clearly indicate where the solution
continues.
programming capabilities are allowed.
off and out of reach.
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.
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 y g x ( )below to graph the transformed function
y g 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
#78) [3 marks]
b) Sketch the labeled graph of f in the coordinate system below when k 2.
[3 marks]
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
[4 marks]