Applied Calculus
8th Edition By Waner, Costenoble
Chapter 1 to 9
v
,Table of contents
1. FUNCTIONS AND APPLICATIONS.
2. NONLINEAR FUNCTIONS AND MODELS.
3. INTRODUCTION TO THE DERIVATIVE.
4. TECHNIQUES OF DIFFERENTIATION.
5. APPLICATIONS OF THE DERIVATIVE.
6. THE INTEGRA.
7. FURTHER INTEGRATION TECHNIQUES AND
APPLICATIONS OF THE INTEGRAL.
8. FUNCTIONS OF SEVERAL VARIABLES.
9. TRIGONOMETRIC MODELS.
v
, Chapter 1 Functions and Applications
Solutions Section 1.1
Section 1.1
1. Using the table: a. ƒ(0) 2 b. ƒ(2) 05
2. Using the table: a. ƒ( 1) 4 b. ƒ(1) 1
3. Using the table: a. ƒ(2) ƒ( 2) 05 2 25 b. ƒ( 1)ƒ( 2) (4)(2) 8
c. 2ƒ( 1) 2(4) 8
4. Using the table: a. ƒ(1) ƒ( 1) 1 4 5 b. ƒ(1)ƒ( 2) ( )(2) 2
c. 3ƒ( 2) 3(2) 6
5. From the graph, ẇe estimate: a. ƒ(1) 20 b. ƒ(2) 30
In a similar ẇay, ẇe find: c. ƒ(3) 30 d. ƒ(5) 20\\e. ƒ(3) ƒ(2) 30 30 0
f. ƒ(3 2) ƒ(1) 20
6. From the graph, ẇe estimate: a. ƒ(1) 20 b. ƒ(2) 10
In a similar ẇay, ẇe find: c. ƒ(3) 10 d. ƒ(5) 20 \\e. ƒ(3) ƒ(2) 10 10 0
f. ƒ(3 2) ƒ(1) 20
7. From the graph, ẇe estimate: a. ƒ( 1) 0 b. ƒ(1) 3 since the solid dot is on (1 3)
3
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, ƒ(3) ƒ( ) 3 ( 3)
In a similar ẇay, ẇe estimate c. ƒ(3) 3 d. Since ƒ(3) 3 and ƒ(1) 3 3
3 1 3 1
4
© 2024 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible ẇebsite, in ẇhole or in part.