PART I: MULTIPLE CHOICE QUESTIONS
For questions 1 through 5, circle the correct answer. You do NOT have to show any work for these
questions. Use the back or the margins of this page for any necessary calculations.
2
R2
1) The average value of
2x2dx
is
1

MATH 100 Assignment #7
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Nov. 16 20.
There are no labs during the week of Nov. 9 13.
1. Use logarithmic differentiation to find dy dx for each of th

MATH 100 Assignment #4
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Oct. 19 Oct. 23.
There are no labs during the week of Oct. 12 Oct. 16.
1.
Find the following limits or show that they do no

MATH 100 Assignment #1
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Sept. 21-25.
1. Simplify the following rational expression:
x2 9
.
x 2 5x + 6
2. If f ( x) = 3 + 2 x x 2 , simplify the exp

MATH 100 Assignment #6
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Nov. 2 6.
1.
a. Show that the point (0, 1) is on the curve y = ex 2 cos(x) .
b. Find the equation of the tangent line to th

MATH 100 Assignment #3
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Oct. 5 Oct. 9.
Do the following problems from the textbook.
6u 2 4
, if the limit exists.
u3
1.
Evaluate lim
2.
(Based on 2

MATH 100 Assignment #9 Last one!
Show all your work to get full marks. Do not use Maple unless indicated.
This is due in your lab the week of Nov. 30 Dec. 4.
1. 4.2 #12 (= #10 in 7th edition)
2. 4.3 #16 (same in 7th edition). Instructions are before quest

Math 100 Practice Problems
Instructor: Jim Nastos
These problems are for practice only. Do not hand them in.
You are encouraged to do as many as you can, depending
on your time and the amount of practice you need. Concentrate on topics where you need the

MATH 100 Assignment #5
Show all your work to get full marks! Do not use Maple unless
indicated. This is due in your lab the week of Oct. 26 Oct. 30.
1.
Let f (x) = x x . Find f !(x) in two ways:
a. By using the Product Rule and simplifying.
b. By multiply

MATH 100 Assignment #8
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Nov. 23 27.
1. The goal of this problem is to estimate the positive solution of the equation
x 4 2x 3 3x 2 4x 5 = 0 , start

Math 100 Section 2, Pretest 1
SOKW
1. If f(:v) = 1:2 21: + 4 evaluate
f(a+h) f(a)
h
in terms of a and h.
War- 2 (MW (zum
-3 sBXA- s 3
cfw_L
53 5 +3/.+ 5 3+? => R3: P417.
1 3. If f(:1:) = Inns and g(x) = .732 9, nd the functions
(a) f o g (b) g o f (

Math 100 Section 2, Pretest 1
1. If f (x) = x2 2x + 4 evaluate
f (a + h) f (a)
,
h
in terms of a and h.
2. Find the domain and range of functions f (x) =
1
27 3x2 and g(t) = 5+3 sin t
3. If f (x) = ln x and g(x) = x2 9, find the functions
(a) f g (b) g f

UNIVERSITY OF BRITISH COLUMBIA OKANAGAN
MATH 100 Midterm 2 Practice Questions
The actual test will be shorter than this.
1) Find the derivative of each of the following functions using derivative rules.
12 3
+ t
t4
1 2x x 2
f ( x) =
x + ex
a) A(t) =
b)
c)

Which statement below about the tangent line to the graph of f(x) at a point P= (a, f(a) is correct?
a)
b)
c)
d)
The slope of the tangent line is defined to be the slope between the point P and itself.
The slope of the tangent line is defined to be the li

MATH 100 Midterm 1 Review
Midterm date: Thursday, October 8th
Please stay outside the classroom until given the signal to enter. Bring student ID or other
photo ID. No calculators or other electronic aids are permitted (no exceptions).
Chapter 2: Limits,

UNIVERSITY OF BRITISH COLUMBIA OKANAGAN
MATH 100 Midterm 1 Practice Questions
1) The graph of a function y = f (x) is shown at
right. (Assume that the domain is 5 x 5 .)
a) Does lim f ( x) exist? (Y/N)_
x1
b) Does lim f ( x) = 0 ? (Y/N)_
x 3
c) At what va

UNIVERSITY OF BRITISH COLUMBIA OKANAGAN
MATH 100 Midterm 2 Practice Solutions
The actual test will be shorter than this.
1) Find the derivative of each of the following functions using derivative rules.
a) A(t) =
12 3
+ t
t4
1
Answer: Rewrite this as A(t)

MATH 100 Assignment #2
Show all your work to get full marks! Do not use Maple unless indicated.
This is due in your lab the week of Sept. 28 - Oct. 2.
1. Consider the graph sketched below of a function f (x) . State the value of each of the
following limi