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A midterm exam for the math 157-3 course at simon fraser university, held on july 2nd, 2008. The exam contains 5 questions worth a total of 40 marks, covering topics such as elasticity of demand, derivatives, and approximations. Students were required to show all their work and only scientific calculators were allowed.
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Simon Fraser University
Department of Mathematics
Burnaby Campus
MATH 157-3, Summer 2008
Midterm 2
July 2
nd , 2008, 11:30 – 12:
Last Name (please print): _________________________________________
First Name (please print): _________________________________________
Student Number: _________________________________________
Instructor: P. Menz
Instructions:
TOLD TO DO SO.
5 questions. Once the exam begins please check to make sure your exam is complete.
the space on the back of the previous page and clearly indicate where the solution continues.
calculators with no differentiation and integration capabilities are allowed.
usual writing instruments, this booklet and an acceptable calculator, shall be within reach of a student during the examination.
communicating with, or deliberately
exposing written papers to the view of other examinees is forbidden.
Do not write in this table!
Question Marks
Total /
This equation tells us the price that must be charged per unit to sustain a
demand of x units.
2 p = 4000 − 5 x
a) Write down the formula for the elasticity of demand E. [1 mark]
b) Find the elasticity of demand E as a function of x. [3 marks]
c) Find and interpret the elasticity of demand when x = 20. [3 marks]
c) g x ( ) = tan x , g ′′( ) x
4 sin y = cos x ,^
dy
dx
all real numbers. Below are 4 further graphs. Identify those graphs that are the
$250,000 in the year 2000 to $400,000 in the year 2006. Let t measure time in
years with t = 0 meaning year 2000. [10 marks]
a) Write an exponential function that models this.
b) What will be the approximate value of the property in 2010?