5E-05(pp 314-323)
1/17/06
3:37 PM
Page 314
CHAPTER 5
To compute an area we approximate a region by rectangles
and let the number of rectangles become large. The precise
area is the limit of these sums
5E-14(pp 884-893)
1/18/06
11:47 AM
Page 884
CHAPTER 14
The calculus of vectorvalued functions is used
in Section 14.4 to prove
Kepler’s laws. These
describe the motion of
the planets about the Sun
and
5E-13(pp 828-837)
1/18/06
11:09 AM
Page 828
CHAPTER 13
Wind velocity is a vector because
it has both magnitude and direction. Pictured are velocity vectors
indicating the wind pattern over
San Francis
5E-12(pp 736-745)
1/18/06
10:08 AM
Page 736
CHAPTER 12
Bessel functions, which are
used to model the vibrations of drumheads and
cymbals, are deﬁned as
sums of inﬁnite series in
Section 12.8. Notice h
5E-11(pp 686-695)
1/18/06
9:31 AM
Page 686
CHAPTER 11
Parametric curves are used to
represent letters and other symbols on laser printers. See the
Laboratory Project on page 705.
Parametric Equations
5E-10(pp 622-631)
1/18/06
9:18 AM
Page 622
CHAPTER 10
By analyzing pairs of differential equations we gain
insight into population
cycles of predators and
prey, such as the Canada
lynx and snowshoe ha
5E-09(pp 582-591)
1/17/06
6:20 PM
Page 582
CHAPTER 9
Integration enables us to
calculate the force exerted
by water on a dam.
Further Applications of Integration
5E-09(pp 582-591)
1/17/06
6:20 PM
Pag
5E-08(pp 510-519)
1/17/06
5:19 PM
Page 510
CHAPTER 8
The techniques of this
chapter enable us to ﬁnd
the height of a rocket a
minute after liftoff and to
compute the escape
velocity of the rocket.
Tec
5E-04(pp 222-231)
1/17/06
2:40 PM
Page 222
CHAPTER 4
Scientists have tried to
explain how rainbows are
formed since the time of
Aristotle. In the project on
page 232, you will be able
to use the princ
5E-03(pp 126-135)
1/17/06
1:49 PM
Page 126
CHAPTER 3
By measuring slopes at points on the sine curve,
we get strong visual evidence that the derivative
of the sine function is the cosine function.
Der
5E-02(pp 064-073)
1/17/06
1:24 PM
Page 64
CHAPTER 2
The idea of a limit is
illustrated by secant lines
approaching a tangent line.
Limits and Rates of Change
5E-02(pp 064-073)
1/17/06
1:25 PM
Page 65
5E-FM.qk
1/19/06
11:09 AM
Page 1
CA L C U L U S
5E-Preview (pp 02-09)
1/17/06
11:44 AM
Page 2
By the time you ﬁnish this course, you will
be able to explain the formation and location
of rainbows, co
REFERENCE PAGES
Algebra
Geometry
Arithmetic Operations
Geometric Formulas
a
c
ad ϩ bc
ϩ
b
d
bd
a
d
ad
a
b
ϫ
c
b
c
bc
d
a͑b ϩ c͒ ab ϩ ac
aϩc
a
c
ϩ
b
b
b
Formulas for area A, circumference C,
5E-18(pp 1176-1185)
1/19/06
3:42 PM
Page 1176
CHAPTER 18
The charge in an electric
circuit is governed by the
differential equations that
we solve in Section 18.3.
Second-Order Differential Equations
5E-16(pp 1016-1025)
1/18/06
4:13 PM
Page 1016
CHAPTER 16
If we approximate a solid by rectangular columns
and let the number of columns increase, the
limit of sums of volumes of columns is the volume