ELEVENTH EDITION - Variable, Volume 1 +2 (Complete) Calculus ELEVE...

Complete Solutions Manual for Calculus of a Single Variable, Volume 1 +2 (Complete) Calculus

ELEVENTH EDITION

Ron Larson Bruce Edwards (For Complete File Download link at the end of this File) 1 / 4

Contents

Chapter P: Preparation for Calculus................................................................................................. 1

Chapter 1: Limits and Their Properties .......................................................................................... 55

Chapter 2: Differentiation ............................................................................................................ 113

Chapter 3: Applications of Differentiation .................................................................................. 211

Chapter 4: Integration .................................................................................................................. 362

Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions ............................... 443

Chapter 6: Differential Equations ................................................................................................ 567 2 / 4

© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

CHAPTER P

Preparation for Calculus Section P.1 Graphs and Models ................................................................................. 2 Section P.2 Linear Models and Rates of Change .................................................... 10 Section P.3 Functions and Their Graphs ................................................................. 21 Section P.4 Review of Trigonometric Functions .................................................... 32 Review Exercises .......................................................................................................... 41 Problem Solving ........................................................................................................... 49

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• © 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.

CHAPTER P

Preparation for Calculus Section P.1 Graphs and Models

• To find the x-intercepts of the graph of an equation,

let y be zero and solve the equation for x. To find the y-intercepts of the graph of an equation, let x be zero and solve the equation for y.

• Substitute the x- and y-values of the ordered pair into

both equations. If the ordered pair satisfies both equations, then the ordered pair is a point of intersection.

3.3 2 3yx=− +

x-intercept:

()2, 0

y

-intercept: ()0, 3

Matches graph (b).

4.2 9yx=−

x-intercepts:

()()3, 0 , 3, 0−

y-intercept:

()0, 3

Matches graph (d).

5.2 3yx=−

x-intercepts:

() ()3, 0 , 3, 0−

y-intercept:

()0, 3

Matches graph (a).

6.3 yx x=−

x-intercepts:

()( )()0,0, 1,0, 1,0−

y-intercept:

()0, 0

Matches graph (c).

7.1 2 2yx=+

• 52

y x=−

9.2 4yx=−

10. ()

2 3yx=−

x 0 2 4 y 0 1 2 3 4

−2−424

−2 4 6 y x (

−2, 1)

(−4, 0)

(0, 2)

(2, 3)

(4, 4)

x 0 1 2 3 4 y 7 5 3 1 0

−2−4−6

−2 −4 2 4 8 y x

(−1, 7)

(0, 5)

(1, 3)

(2, 1)

(3, −1)

(4, −3), 0

5

• ((

x 0 2 3 y 0 4 0 x 0 1 2 3 4 5 6 y 9 4 1 0 1 4 9 x 2 −4 −2 −6 6

−4−646

(−3, −5) (3, −5)

(−2, 0)

(0, 4)

(2, 0)

y

−6−4−2

−2 2 2 4 46 6 8 10 y x

(1, 4)

(2, 1)

(3, 0)

(4, 1)

(5, 4)

(6, 9)(0, 9)

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