Name : October 18th 2013
1. (3 points) If f(x) = m then:
A Domain 2 [0,4] , Range = [0,4]
Domain 2 [41,4] , Range 2 [0,4]
C. Domain 2 [—2, 2] , Range = [0, 4]
D. Domain 2 [—4,4] , Range 2 [0,2]
E. None of the above
2. (3 point) casket—1(3) =
I
«1+3?
WESTERN UNIVERSITY
LONDON CANADA
DEPARTMENT OF MATHEMATICS
Calculus 1500
INSTRUCTOR: Alim Eshmatov
EMAIL : [email protected]
COURSE WEBPAGE :
OFFICE HOURS :
TEXTBOOK: Single Variable Calculus, seventh Edition, with Early Transcendentals, with Student
Soluti
Calculus 1500
Section numbers refer to the 7th edition of the text.
List of suggested exercises. (subject to change)
EXPONENTIAL, LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS
Exponentials
1.5
Appendix D
1.6
57
A32
69
5, 10-16, 17, 18
1, 3, odd # 5-11, 12, odd
1. Exercises
E. 0. Use the denition of limit to show that
1
lim 5x + 9 = 29
x4
E. 0. Use the denition of limit to show that
2
lim 5x + 9 = 9
x0
E. 0. Let
3
5,
x < 1,
f (x) = 2x,
x = 1,
10 + x, x > 1.
Evaluate each of the following:
(A) lim f (x) =
x1
(B)
Fall 2013
Calculus 1500: HW 1
Due Wednesday, September 25.
Show all your work.
Section 1.5: 4, 5, 8, 17, 20, 21.
Section 1.6: 4, 7, 10, 12, 18, 21, 70.
Problems on sets and functions:
1. Describe the following sets in interval notation :
cfw_x R | 1 < x
THE EXPONENTIAL FUNCTION
These lecture notes are designed to provide supplementary material to Stewart, Single Variable
Calculus, Sixth Edition, with Early Transcendentals. This is far from a complete, or even
rigorous
treatment of set theory. Such a trea