SOLUTION MANUAL FOR
CALCULUS 12TH EDITION BY
RON LARSON BRUCE H.
EDWARDS LATEST UPDATE
2025/2026 A+
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
,CONTENTS
Chapter P Preparation For Calculus..............................................................................................1
Chapter 1 Limits And Their Properties .......................................................................................27
Chapter 2 Differentiation...........................................................................................................57
Chapter 3 Applications Of Differentiation ................................................................................110
Chapter 4 Integration ..............................................................................................................187
Chapter 5 Logarithmic, Exponential, And Other Transcendental Functions.................................231
Chapter 6 Differential Equations..............................................................................................290
Chapter 7 Applications Of Integration ......................................................................................321
Chapter 8 Integration Techniques, L’Hôpital’s Rule, And Improper Integrals .............................371
Chapter 9 Infinite Series..........................................................................................................449
Chapter 10 Conics, Parametric Equations, And Polar Coordinates ...............................................514
Iii
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
, C H A P TE R P
PREPARATION FOR CALCULUS
SECTION P.1............................................................GRAPHS AND MODELS 2
SECTION P.2........................... LINEAR MODELS AND RATES OF CHANGE 6
SECTION P.3.......................................... FUNCTIONS AND THEIR GRAPHS 12
SECTION P.4.................................................... FITTING MODELS TO DATA 18
REVIEW EXERCISES................................................................................ 20
PROBLEM SOLVING ................................................................................ 23
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
, C H A P T E R P
Preparation For Calculus
Section P.1 Graphs And Models
1. Y 32 X 3 9. Y x 2
X-Intercept: (2, 0)
Y-Intercept: (0, 3)
x 5 4 3 2 1 0 1
M atches Graph
(B). y 3 2 1 0 1 2 3
Y
2. Y 9 x
2
6
X-Intercepts: 3, 0, 3, 0
4
( 5, 3)
Y-Intercept: (0, 3) (1, 3)
( 4, 2) 2 (0, 2)
M atches Graph ( 3, 1) ( 1, 1)
6 4 ( 2, 0) 2
(D).
2 X
3. Y 3 X 2
X-Intercepts:
3, 0 , 3, 0
11. Y
x
6
Y-Intercept: (0, 3)
M atches Graph x 0 1 4 9 16
(A). y 6 5 4 3 2
4. Y X3 X
X-Intercepts: 0, 0, 1, 0, 1, 0
Y
2
Y-Intercept: (0, 0) x
4 4 8 12 16
M atches Graph 2 (9, 3)
(16, 2)
(C). 4 (4, 4)
(1, 5)
6
(0, 6)
5. Y 1X 2 8
2
x 4 2 0 2 4
y 0 1 2 3 4 3
13. y
Y X
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
CALCULUS 12TH EDITION BY
RON LARSON BRUCE H.
EDWARDS LATEST UPDATE
2025/2026 A+
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
,CONTENTS
Chapter P Preparation For Calculus..............................................................................................1
Chapter 1 Limits And Their Properties .......................................................................................27
Chapter 2 Differentiation...........................................................................................................57
Chapter 3 Applications Of Differentiation ................................................................................110
Chapter 4 Integration ..............................................................................................................187
Chapter 5 Logarithmic, Exponential, And Other Transcendental Functions.................................231
Chapter 6 Differential Equations..............................................................................................290
Chapter 7 Applications Of Integration ......................................................................................321
Chapter 8 Integration Techniques, L’Hôpital’s Rule, And Improper Integrals .............................371
Chapter 9 Infinite Series..........................................................................................................449
Chapter 10 Conics, Parametric Equations, And Polar Coordinates ...............................................514
Iii
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
, C H A P TE R P
PREPARATION FOR CALCULUS
SECTION P.1............................................................GRAPHS AND MODELS 2
SECTION P.2........................... LINEAR MODELS AND RATES OF CHANGE 6
SECTION P.3.......................................... FUNCTIONS AND THEIR GRAPHS 12
SECTION P.4.................................................... FITTING MODELS TO DATA 18
REVIEW EXERCISES................................................................................ 20
PROBLEM SOLVING ................................................................................ 23
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
, C H A P T E R P
Preparation For Calculus
Section P.1 Graphs And Models
1. Y 32 X 3 9. Y x 2
X-Intercept: (2, 0)
Y-Intercept: (0, 3)
x 5 4 3 2 1 0 1
M atches Graph
(B). y 3 2 1 0 1 2 3
Y
2. Y 9 x
2
6
X-Intercepts: 3, 0, 3, 0
4
( 5, 3)
Y-Intercept: (0, 3) (1, 3)
( 4, 2) 2 (0, 2)
M atches Graph ( 3, 1) ( 1, 1)
6 4 ( 2, 0) 2
(D).
2 X
3. Y 3 X 2
X-Intercepts:
3, 0 , 3, 0
11. Y
x
6
Y-Intercept: (0, 3)
M atches Graph x 0 1 4 9 16
(A). y 6 5 4 3 2
4. Y X3 X
X-Intercepts: 0, 0, 1, 0, 1, 0
Y
2
Y-Intercept: (0, 0) x
4 4 8 12 16
M atches Graph 2 (9, 3)
(16, 2)
(C). 4 (4, 4)
(1, 5)
6
(0, 6)
5. Y 1X 2 8
2
x 4 2 0 2 4
y 0 1 2 3 4 3
13. y
Y X
Copyright 2013 Cengage Learning. All Rights Reserved. M ay not be copied, scanned, or duplicated, in whole or in part.
