SOLUTION MANUAL FOR
CALCULUS 12TH EDITION BY
RON LARSON BRUCE H.
EDWARDS LATEST UPDATE
2025/2026 A+
Copyright 2013 Cengage Learning. All Rights Reserved. May 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. May 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 ................................................................... 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. May 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
Matches Graph
(B). y 3 2 1 0 1 2 3
Y
2. Y = 9 − x2
6
X-Intercepts: (−3, 0), (3, 0)
4
(− 5, 3)
Y-Intercept: (0, 3) (− 4, 2)
(1, 3)
2 (0, 2)
Matches Graph (− 3, 1) (− 1, 1)
− 4 (− 2, 0)
(D). −6 2
−2 X
2
3. Y = 3 − X
X-Intercepts :
)(
3, 0 , − 3, 0 )
( 11. Y =
x
−6
Y-Intercept: (0, 3)
Matches Graph x 0 1 4 9 16
(A). y −6 −5 −4 −3 −2
4. Y = X3 − X
Y
X-Intercepts: (0, 0), (−1, 0), (1, 0)
2
Y-Intercept: (0, 0) x
−4 4 8 12 16
Matches Graph −2 (9, − 3)
(16, − 2)
(C). −4 (4, − 4)
(1, − 5)
−6
(0, − 6)
5. Y = 1X
2
+ 2 −8
x −4 −2 0 2 4
y 0 1 2 3 4 3
13. y =
Y X
Copyright 2013 Cengage Learning. All Rights Reserved. May 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. May 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. May 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 ................................................................... 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. May 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
Matches Graph
(B). y 3 2 1 0 1 2 3
Y
2. Y = 9 − x2
6
X-Intercepts: (−3, 0), (3, 0)
4
(− 5, 3)
Y-Intercept: (0, 3) (− 4, 2)
(1, 3)
2 (0, 2)
Matches Graph (− 3, 1) (− 1, 1)
− 4 (− 2, 0)
(D). −6 2
−2 X
2
3. Y = 3 − X
X-Intercepts :
)(
3, 0 , − 3, 0 )
( 11. Y =
x
−6
Y-Intercept: (0, 3)
Matches Graph x 0 1 4 9 16
(A). y −6 −5 −4 −3 −2
4. Y = X3 − X
Y
X-Intercepts: (0, 0), (−1, 0), (1, 0)
2
Y-Intercept: (0, 0) x
−4 4 8 12 16
Matches Graph −2 (9, − 3)
(16, − 2)
(C). −4 (4, − 4)
(1, − 5)
−6
(0, − 6)
5. Y = 1X
2
+ 2 −8
x −4 −2 0 2 4
y 0 1 2 3 4 3
13. y =
Y X
Copyright 2013 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part.
