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Solutions for Basic Technical Mathematics with Calculus, 12th Edition Washington (All Chapters included)

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Complete Solutions Manual for Basic Technical Mathematics with Calculus, 12th Edition by Allyn J. Washington, Richard Evans ; ISBN13: 9780137582792....(Full Chapters included Chapter 1 to 31)...Chapter 1 Basic Algebraic Operations Chapter 2 Geometry Chapter 3 Functions and Graphs Chapter 4 The T...

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9780137582792
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Instructor's Solutions Manual for
Basic Technical Mathematics and
Basic Technical Mathematics with Calculus, 12th Edition

Chapter 1 Basic Algebraic Operations .....................................................................................1

Chapter 2 Geometry..............................................................................................................104

Chapter 3 Functions and Graphs ..........................................................................................171

Chapter 4 The Trigonometric Functions ..............................................................................259

Chapter 5 Systems of Linear Equations; Determinants ........................................................346

Chapter 6 Factoring and Fractions........................................................................................490

Chapter 7 Quadratic Equations .............................................................................................581

Chapter 8 Trigonometric Functions of Any Angle ...............................................................666

Chapter 9 Vectors and Oblique Triangles ............................................................................723

Chapter 10 Graphs of the Trigonometric Functions ...............................................................828

Chapter 11 Exponents and Radicals .......................................................................................919

Chapter 12 Complex Numbers .............................................................................................1001

Chapter 13 Exponential and Logarithmic Functions ............................................................1090

Chapter 14 Additional Types of Equations and Systems of Equations ................................1183

Chapter 15 Equations of Higher Degree...............................................................................1290

Chapter 16 Matrices; Systems of Linear Equations .............................................................1356

Chapter 17 Inequalities .........................................................................................................1477

Chapter 18 Variation ............................................................................................................1598

Chapter 19 Sequences and the Binomial Theorem ...............................................................1634

Chapter 20 Additional Topics in Trigonometry ...................................................................1696

,Chapter 21 Plane Analytic Geometry ...................................................................................1812

Chapter 22 Introduction to Statistics ....................................................................................2052

Chapter 23 The Derivative ...................................................................................................2126

Chapter 24 Applications of the Derivative ...........................................................................2310

Chapter 25 Integration ..........................................................................................................2487

Chapter 26 Applications of Integration ................................................................................2572

Chapter 27 Differentiation of Transcendental Functions .....................................................2701

Chapter 28 Methods of Integration .......................................................................................2839

Chapter 29 Partial Derivatives and Double Integrals ...........................................................2991

Chapter 30 Expansion of Functions in Series .......................................................................3058

Chapter 31 Differential Equations ........................................................................................3181

, Chapter 1
Basic Algebraic Operations
1.1 Numbers
7 12
1. The numbers –7 and 12 are integers. They are also rational numbers since they can be written as and .
1 1

2. The absolute value of –6 is 6, and the absolute value of –7 is 7. We write these as 6  6 and 7  7 .

3. 6  4 ; –6 is to the left of –4.

–7 –6 –5 –4 –3 –2 –1 0 1

3 1 2 2
4. The reciprocal of is  1  .
2 3/ 2 3 3

3
5. 3 is an integer, rational   , and real.
1
4 is imaginary.

7
6. is irrational (because 7 is an irrational number) and real.
3
 6 
6 is an integer, rational   , and real.
 1 


7.  is irrational (because  is an irrational number) and real.
6
1
is rational and real.
8

8.  6 is imaginary.
233
2.33  is rational and real.
100

9. 3 3
3  3
 
 
2 2

10. 0.857  0.857
2  2
19 19
 
4 4

1

, 2 Chapter 1 Basic Algebraic Operations

11. 6  8 ; 6 is to the left of 8.

3 4 5 6 7 8 9 10 11

12. 7  5 ; 7 is to the right of 5.

3 4 5 6 7 8 9 10 11

13.   3.1416;  (3.1415926) is to the left of 3.1416.

( ) (3.1416)

3.141592 3.1416

14. 4  0 ; –4 is to the left of 0.

–6 –5 –4 –3 –2 –1 0 1 2

15. 4   3 ; –4 is to the left of  3 ,   3    3  3 .

–6 –5 –4 –3 –2 –1 0 1 2

16.  2  1.42; (  2   1.414.  1.414),  2 is to the right of –1.42.

–1.44 –1.43 –1.42 –1.41 –1.40

2 3 2 3
17.    ;   0.666  is to the right of   0.75 .
3 4 3 4

–0.8 –0.7 –0.6 –0.5 –0.4

18. 0.6  0.2 ; –0.6 is to the left of 0.2.

–0.6 –0.5 –0.4 –0.3 –0.2 –0.1 0 0.1 0.2

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