CMSC 000-741 Winter 2017
Assignment 8 Problems
Assignment 8 is due Saturday, 18 March 2017 at 9:00am
Answers will be posted that afternoon after class.
Section 7.4
A.
B.
Simplify the complex fraction:
Simplify the complex fraction:
x
3
2
x
2
x5
2
1
x 5 4
CMSC 000-741 Winter 2017
Assignment 7 Problems
page1
Assignment 7 is due Saturday, 11 March 2017 at 9:00am
Answers will be posted that afternoon after class.
Section 7.1
A.
The average cost
C for a manufacturer to produce x items is given by C
Describe t
Foundations of Mathematics
Course Outline
GENERAL INFORMATION
Course Number
CMSC 000
Course Pre-requisite(s)
Course Co-requisite(s)
Course Schedule
Section #
781
Term
Fall
Year
2016
None
None
Thursday 6:00- 9:00 pm
COURSE LECTURERS INFORMATION
Name
Email
CMSC 000-741 Winter 2017
Assignment 9 Problems
Assignment 9 is due Saturday, 25 March 2017 at 9:00am
Answers will be posted that afternoon after class.
Section 8.3 (new)
Section 9.3 (old)
Combine the radical expressions, if possible. Express all answers i
CMSC 000-741 Winter 2017
Assignment 11 Problems
page1
Assignment 11 is a virtual assignment, NOT to be handed in.
Answers will be posted 1 April after class.
Section 11.1 (new)
Section 13.1 (old)
Assume that n begins with 1.
an 2 n 3
A.
Write the first 5
CMSC 000
Cost, Revenue and Profit Example
page 1
If a, b and c are real numbers (and a is NOT zero), then f x ax 2 bx c
is a quadratic function and its graph is a parabola.
Properties of a parabola:
y-intercept
f(0) = c
x-intercept(s) solve ax 2 bx c 0 by
CMSC 000-741 Winter 2017
Assignment 8 Solutions
page 1
Section 7.4
x2
3
, x 0,
A.
2x 3
2
Section 8.1
8
B. , x 5
9
B.
C.
11x 5 x 5 , x 0, x 5
2 x 5 x2 x 5
xy
, x 0, y 0, x y
D.
yx
Section 7.5
A. 10
B. 130
C. 6 and 8
D. No solution
A. 27
C.
Section 7.6
A.
CMSC 000-741 Winter 2017
Assignment 10 Problems
page1
Assignment 10 is due Saturday, 1 April 2017 at 9:00am
Answers will be posted that afternoon after class.
Section 9.3 (new)
Section 10.3 (old)
A.
Solve by using the quadratic formula:
10 x 2 11x 3 0
B.
CMSC 000-741 Winter 2017
Section 7.1
A. cfw_1, 2, 3, 4,
B.
C.
x x 2
x3
, x 2, 3
8z 5
4
, z
7z 4
7
D. a) C 60 000 6.50 x
60 000 6.50x
b) C
x
c) cfw_1,2,3
d) $11.95
Section 7.2
3y 1
A.
, y 2, 4
y4
B.
C.
D.
4 x 1 5 x 6 x 2
4 x 5 x 1 x 6
1
5
x , 3, , 1,
CMSC 000-741 Winter 2017
Assignment 9 Solutions
Section 9.1
A. y = 0 y = 3
Section 8.3
A. 5 3 17 8 3 2
B. x = 12 x = -12
B. 5 4 3
5 4 3
C. x
3
3
C. t 3 2t
D.
3 x
page 1
x 1
D. x 3 x 7
E. 26 xy 2 3 5 x 2 y 2
E. x = -1/2 x = 1/3
F. x = -1 x = 1 x = 5 x =
CMSC 000 741 Winter 2016
Section 9.3
1 3
A. x ,
2 5
Assignment 10 Solutions
D.
B. u 6 7
C. x
2 30
3
5
D. u , 0
2
E. y 12. 9
F. x
3 37
2
E.
Section 9.4
A. Upward, (3, -9)
B. (-5/2, 0) (2, 0) (0, 10)
F. y
3
2
x 4 2
2
C.
Section 10.1
A. 3x 2
B. 2e3 x
C.
CMSC 000 741 Winter 2015
Assignment 11 Solutions
Section 13.1
A. 5, 7, 9, 11, 13
B. a20 70
C. (16)(15)(14) = 3360
D.
n 2 n 1
E. an 5n 1
F. an
1
n2
G. 35
Section 13.2
A. Arithmetic, -1/2
B. 9, 11, 13, 15, 17,
C. 20 100
D. 15 050
E. 3000
F. The total is
CoordinatePlane
x-axis and y-axis
(xcoordinate,ycoordinate)
cg-1
DistanceBetweenTwoPoints
The distance between the points A(x1, y1) and B(x2, y2) is:
d ( A, B )
x2 x1 2 y2 y1 2
cg-2
1
MidpointofaLineSegment
The midpoint can be found by averaging the x-co
PermutationsandCombinations
Consider the set cfw_ d , e , f . How many two-letter
words can be formed from the members of this set?
We are counting the number of permutations of 3
objects taken 2 at a time. There are six of them:
de, df, ef, ed, fd, fe
Co
Function
A function is a correspondence between a first set,
called the domain, and a second set, called the range,
such that each member of the domain corresponds to
exactly one member of the range.
The inputs (members of the domain) are values of x
subs
Exponentialfunctions
f ( x) b x
Example:
Supposeyoureceivedapennyonthefirstdayof
January,twopenniesontheseconddayofJanuary,
fourpenniesonthethirdday,eightpenniesonthe
fourthdayandsoon.Howmuchwouldyoureceive
onJanuary31ifthispatterncontinues?
el-1
Examples
ArithmeticandGeometricSeries
Let d be the common difference of an arithmetic sequence
a 1 , a2 , a 3 , , a n
an = a1 + (n 1)d
n
Sn a1 an
2
The nth term of the sequence is:
The sum of the first n terms is:
Let r be the common ratio of a geometric sequence
Department of Career & Professional Development
Winter 2016
Final Examination Answers
Student Name
Student Number
Foundations of Mathematics
CMSC 000
Lecturer:
G. Brown
Date:
Time:
26 April 2016
3 hours
INSTRUCTIONS:
This is a closed book examination.
Giv
Department of Career and Professional Development
Winter 2016
Mid-Term Examination
Student Name
Student Number
Foundations of Mathematics
CMSC 000 741
Lecturer:
Grant Brown
Date:
Time:
20 February 2016
6:30 to 8:30 pm
Instructions
This is a closed book ex
Department of Career & Professional Development
Winter 2016
Final Examination
Student Name
Student Number
Foundations of Mathematics
CMSC 000
Lecturer:
G. Brown
Date:
Time:
26 April 2016
3 hours
INSTRUCTIONS:
This is a closed book examination.
Give your a
Department of Career & Professional Development
Winter 2015
Final Examination
Student Name
Student Number
Foundations of Mathematics
CMSC 000
Lecturers:
G. Brown, J. Graham
Date:
Time:
16 April 2015
6:00 - 9:00 p.m.
INSTRUCTIONS:
This is a closed book exa
Department of Career and Professional Development
Winter 2016
Mid-Term Examination with answers
Student Name
Student Number
Foundations of Mathematics
CMSC 000 741
Lecturer:
Grant Brown
Date:
Time:
20 February 2016
6:30 to 8:30 pm
Instructions
This is a c
Department of Career and Professional Development
Winter 2015
Mid-Term Examination with Answers
Student Name
Student Number
Foundations of Mathematics
CMSC 000 741
version
Lecturer:
A
Grant Brown
Date:
Time:
21 February 2015
9:30 to 11:30 am
Instructions
Department of Career & Professional Development
Winter 2015
Final Examination with Answers
Student Name
Student Number
Foundations of Mathematics
CMSC 000
Lecturers:
G. Brown, J. Graham
Date:
Time:
16 April 2015
6:00 - 9:00 p.m.
INSTRUCTIONS:
This is a cl
Department of Career and Professional Development
Winter 2015
Mid-Term Examination
Student Name
Student Number
Foundations of Mathematics
CMSC 000 741
version
Lecturer:
B
Grant Brown
Date:
Time:
21 February 2015
9:30 to 11:30 am
Instructions
This is a clo
Department of Career and Professional Development
Winter 2015
Mid-Term Examination with Answers
Student Name
Student Number
Foundations of Mathematics
CMSC 000 741
version
Lecturer:
B
Grant Brown
Date:
Time:
21 February 2015
9:30 to 11:30 am
Instructions
Department of Career and Professional Development
Winter 2015
Mid-Term Examination
Student Name
Student Number
Foundations of Mathematics
CMSC 000 741
version
Lecturer:
A
Grant Brown
Date:
Time:
21 February 2015
9:30 to 11:30 am
Instructions
This is a clo
CMSC 000-741 Winter 2016
Assignment 7 Problems
page1
Assignment 7 is due Saturday, 5 March 2016 at 9:00am
Answers will be posted that afternoon after class.
Section 7.1
A.
The average cost
C for a manufacturer to produce x items is given by C
Describe th