Created using
Set 7
Name:
1.
Section Number:
a. Find the sign chart for the function
b. Find all the asymptotes of .
c. Use the information in (a) and (b) to sketch the graph of . Note: the graph
must be consistent with (a) and (b) to get credit here.
Cop
Created using
Set 3
Name:
Section Number:
1. Given two functions,
and
Complete the following table.
2. Suppose
and
. Find the two composite functions
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Page
Created using
Set 5
Name:
Section Number:
1. Let
a. Find
.
three
functions
and
b. Compute the derivative of each of the three component functions
c. Apply the chain rule twice to find
satisfying
.
.
Copyright (c) 2013, Edfinity, Inc. Reproduction without
Created using
Set 6.
Name:
Section Number:
1. In each of Exercises (a) through (d), show that the function has exactly one zero
in the interval. Accomplish this by using the Intermediate Value Theorem to
show there is at least one zero, and show that the
Introducing Some Economics Terminology
This essay is intended to be read before the second test. The purpose is to
familiarize you with some terminology economists use and to provide some examples
of the use of calculus in economics. Five terms used consi
Created using
Set 4
Name:
Section Number:
1. Let
. Note that
.
a. Find the slope of the line joining the points
, where
b. Evaluate and simplify
expression as
c. Replace the
and
.
Then find the limit of the
approaches 0.
with 0 in your answer to (b) to fi
The Zero Over Zero Problem
1 FACTORING
One of the powerful ideas of calculus is the limit concept. The limit concept
enables us to discuss the zero over zero problems, which we write as 0/0. Lets rst
talk about real number division. We can say that 6/3 =
Introducing The Test Interval Technique
This essay is intended to be read before the class has discussed dierentiation
of elementary functions. One of the fundamental ideas in calculus involves the use
of the derivative function in nding the intervals ove
Created using
Set 8
Name:
Section Number:
1. A rancher wants to fence in an area of
square feet in a rectangular field
and then divide it in half with a fence down the middle parallel to one side. What
is the shortest length of fence that the rancher can
Created using
Set 2
Name:
1.
Section Number:
a. Find all solutions of the equation
b. Find the (implied) domain of
answer in interval notation.
.
and write your
2. For each condition listed, express in interval notation the set of all numbers that
satisfy
Created using
Set 1
Name:
Section Number:
1. Find an equation for a line that is perpendicular to the line
and
which passes through the point
. Write your answer in slope-intercept form.
2. Find the exact value of the expression
your answer in a very simp