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?
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
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
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