Mathematics for Business
Abida Mansoora and Richard J. Caron
c 2014 University of Windsor
January 5, 2016
1 Mathematical Concepts
1.1 The Real Numbers . . . . . . . . . . . . . . . .
1.2 Properties of Real Numbers . . . . . . . . . . .
Solutions of Chapter 4 Exercises
1. Given each of the following mathematical expressions, rearrange the expressions so that the resulting
expression is linear and all the decision variables are on the left hand side of the expression and
only constants ar
HBR Case Study
BY DAVID SILVERMAN
GINI GRAHAM SCOTT,
AND LAUREN SONTAG
Boss from Hell
gust from the overhead
duct, and my project manager certication oated onto my keyboard no
amount of Fun-Tak and tape could
Solutions of Chapter 2 Exercises
1. Find the equation of the line passing through the following points. Also find the x-intercept and
(a) (0, 0) and (5, 2)
(b) (1, 4) and (12, 3)
Solution. (a) slope: m =
Solutions of Chapter 6 Exercises
1. Sketch the graph of the following functions.
Solution. (a) y = 3x
(b) y = (0.6)x
(c) y = ln x
(d) y = log5 x
2. Use a calculator to evaluate
Solution. (a) 30.4 = 1.5518
(b) e5 = 148.4
Solutions of Chapter 7 Exercises
1. What is the probability of obtaining two heads in row?
Solution. There are four equally likely possibilities. They are HH, HT, TH, and TT, where H
represents heads and T represents tails. Of the four, only one is HH. Th
Solutions of Chapter 3 Exercises
1. Solve each of the following systems by graphical method.
The graphs for both lines are shown in Figure 1. The point of intersection is (0, 0). So the solution
is x = 0 and y = 0.
Math 141, Section 01 8c 05, Integral Calculus
Exam 1: February 4, 2012
Last name: SOLUTON First name: Student No.:
o This test has 10 problems and a total of 6 pages, including this cover page. You have
0 Read ca
Math 141, Section 05, Integral Calculus
Exam 3: March 27, 2010
There are 7 questions on a total of 7 pages, including this cover page. Write your
solutions in the space provided.
Read each q
2) a} ShDW1h31Tp_ p-1 p
sm'x . . .
g b} Let !1 = 1] air. Use a mmparlson test to Show than this nucgral
converges. DO NOT ATTEMPT TO EVALUATE fl.
O c} Let I: : 11" Us: a campan'sun test to ShOW that this integral
- x' x
MATHEMATICS 62-140 - Final Examination Solutions
(10 marks) Let f(x)
sin x .
Test f for symmetry in the y axis, and in the origin.
Find all x intercepts.
sin ( x)
( sin x)