Worksheet
Math 124
Week 4
Worksheet for Week 4: Velocity and parametric curves
In this worksheet, youll use dierentiation rules to nd the vertical and horizontal
velocities of an object as it follows a parametric curve. Youll also get a preview of how
to
Worksheet
Math 124
Week 11
Worksheet for Week 11: Maximizing functions
The best way to study for the Math 124 nal is to solve challenging problems. In
this worksheet, youll solve a dicult problem that incorporates several topics from the
class: position a
NAl\IE
So \u. . h0
S
~
STUDENT
ID
T A's
NAl\JE

S ECTION
M ath 124K
Autumn 2012
~lidterIll
1
October 23. 2012
Point t otals a re indicated in parentheses. You m ust show your work t o receive credit.
You do not Heed a c alculator for any o f t he pr
NAME: _ QUIZ SECTION:_
Student ID #: _
Math 124 A & B Midterm I
February 3, 2009
Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Total:
10 12 8 5 8 7 50
Your exam should contain 6 problems on 4 pages. Check that you have a complete exam! Unl
Worksheet
Math 124
Week 1
Worksheet for Week 1: Circles and lines
This worksheet is a review of circles and lines, and will give you some practice with
algebra and with graphing. Also, this worksheet introduces the idea of tangent lines to
circles. Later
Worksheet
Math 124
Week 3
Worksheet for Week 3: Graphs of f (x) and f (x)
In this worksheet youll practice getting information about a derivative from the graph
of a function, and vice versa. At the end, youll match some graphs of functions to graphs
of t
Chapter 22 Parametric Equations
Imagine a car is traveling along the highway and you look down at the situation from high above:
highway
curve (static)
eplacements
axis axis axis
car
moving point (dynamic)
Figure 22.1: The dynamic motion of a car on a
Worksheet
Math 124
Week 6
Worksheet for Week 6: Implicit Dierentiation
In this worksheet, youll use parametrization to deal with curves that have more than
one tangent line at a point. Then youll use implicit dierentiation to relate two derivative
functio
Worksheet
Math 124
Week 2
Worksheet for Week 2: Graphs and limits
In this worksheet, youll practice using the graph of an objects position to learn about
its velocity. Youll also learn a useful technique for computing limits of certain types of
functions
Worksheet
Math 124
Week 7
Worksheet for Week 7: Related Rates
This worksheet guides you through some more challenging problems about related rates.
A milk carton is shaped like a tall box with a
triangular prism on top. The sides of the top
section are is
Chapter 23 Linear Motion
The simplest example of a parametrized curve arises when studying the motion of an object along a straight line in the plane. We will start by studying this kind of motion when the starting and ending locations are known.
23.1 Mot
234
CHAPTER 17. SINUSOIDAL FUNCTIONS
Definition 17.1.1 (The Sinusoidal Function). Let A, B, C and D be fixed constants, where A and B are both positive. Then we can form the new function y = A sin 2 (x  C) + D, B
which is called a sinusoidal function. Th
Math 124 Sections F & G, Winter 2014
MidTerm Exam Number One: Solutions
There are two versions of the exam.
Version 1 had (x
2)2 in the denominator of problem #1(a).
1. (a) The numerator approaches 4, while the denominator approaches 0. Furthermore,
the