42
CHAPTER 1
Limits and Their Properties
Section 1.1
As you progress through
this course, remember that learning
calculus is just one of your goals. Your
most important goal is to learn how to
use calculus to model and solve real-life
problems. Here are a

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Copyright by Holt, Rinehart and Winston. All rights reserved.
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CHAPTER 2
Motion in One
Dimension
PHYSICS IN ACTION
The electric bullet trains in Japan have been
running at speeds of 200 km/h since October 1 964. Newer trains can achieve speeds
of

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Copyright by Holt, Rinehart and Winston. All rights reserved.
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CHAPTER 1
The Science of
Physics
PHYSICS IN ACTION
The sails of this boat billow out round and
full. As the boat begins moving forward
faster and faster, a ball on the deck rolls
towa

694
CHAPTER 10
Conics, Parametric Equations, and Polar Coordinates
Section 10.1
Conics and Calculus
HYPATIA (370415 A.D.)
The Greeks discovered conic sections sometime
between 600 and 300 B.C. By the beginning
of the Alexandrian period, enough was known
a

594
CHAPTER 9
Infinite Series
Section 9.1
Sequences
E X P L O R AT I O N
Finding Patterns Describe a pattern
for each of the following sequences.
Then use your description to write a
formula for the nth term of each
sequence. As n increases, do the
terms

518
CHAPTER 8
Integration Techniques, LHpitals Rule, and Improper Integrals
Section 8.1
Basic Integration Rules
Review procedures for fitting an integrand to one of the basic integration rules.
Fitting Integrands to Basic Rules
In this chapter, you will

404
CHAPTER 6
Differential Equations
Section 6.1
Slope Fields and Eulers Method
Use initial conditions to find particular solutions of differential equations.
Use slope fields to approximate solutions of differential equations.
Use Eulers Method to app

164
CHAPTER 3
Applications of Differentiation
Section 3.1
Extrema on an Interval
Understand the definition of extrema of a function on an interval.
Understand the definition of relative extrema of a function on an open interval.
Find extrema on a close

248
CHAPTER 4
Integration
Section 4.1
Antiderivatives and Indefinite Integration
E X P L O R AT I O N
Finding Antiderivatives For each
derivative, describe the original
function F.
a. Fx 2x
b. Fx x
c. Fx
1
x2
Antiderivatives
Suppose you were asked to fin

96
CHAPTER 2
Differentiation
Section 2.1
The Derivative and the Tangent Line Problem
Find the slope of the tangent line to a curve at a point.
Use the limit definition to find the derivative of a function.
Understand the relationship between differenti