Exam (elaborations)

Solutions Manual for Basic Technical Mathematics and Basic Technical Mathematics with Calculus, 12th Edition by Allyn Washington, Richard Evans, All Chapters 1-31

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Course
Basic Technical Mathematics with Calculus 12e

Institution
Basic Technical Mathematics With Calculus 12e

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

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solutions manual

Institution Basic Technical Mathematics with Calculus 12e
Course Basic Technical Mathematics with Calculus 12e

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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
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Chapter 2 Geometry..............................................................................................................104
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Chapter 3 Functions and Graphs ..........................................................................................171
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Chapter 4 The Trigonometric Functions ..............................................................................259
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Chapter 5 Systems of Linear Equations; Determinants ........................................................346
S
Chapter 6 Factoring and Fractions........................................................................................490
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Chapter 7 Quadratic Equations .............................................................................................581
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Chapter 8 Trigonometric Functions of Any Angle ...............................................................666
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Chapter 9 Vectors and Oblique Triangles ............................................................................723
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Chapter 10 Graphs of the Trigonometric Functions ...............................................................828
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Chapter 11 Exponents and Radicals .......................................................................................919
C
Chapter 12 Complex Numbers .............................................................................................1001

Chapter 13 Exponential and Logarithmic Functions ............................................................1090
D
Chapter 14 Additional Types of Equations and Systems of Equations ................................1183
E
Chapter 15 Equations of Higher Degree...............................................................................1290
M
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
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Chapter 25 Integration ..........................................................................................................2487
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Chapter 26 Applications of Integration ................................................................................2572
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Chapter 27 Differentiation of Transcendental Functions .....................................................2701
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Chapter 28 Methods of Integration .......................................................................................2839

Chapter 29 Partial Derivatives and Double Integrals ...........................................................2991
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Chapter 30 Expansion of Functions in Series .......................................................................3058
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Chapter 31 Differential Equations ........................................................................................3181
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, 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
R
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 .

6  4 ; –6 is to the left of –4.
U
3.
E
–7 –6 –5 –4 –3 –2 –1 0 1
S
3 1 2 2
4. The reciprocal of is  1  .
2 3/ 2 3 3
S
3
5. 3 is an integer, rational   , and real.
I
1
O
4 is imaginary.

7
N
6. is irrational (because 7 is an irrational number) and real.
3
 6 
N
6 is an integer, rational   , and real.
 1 
O

7.  is irrational (because  is an irrational number) and real.
6
C
1
is rational and real.
8
D
8.  6 is imaginary.
233
2.33 
E
is rational and real.
100
M
9. 3 3
3  3
 
 
2 2

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

Copyright © 2023 Pearson Education, Inc. 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.
R
3 4 5 6 7 8 9 10 11
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13.   3.1416;  (3.1415926 ) is to the left of 3.1416.

( )
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(3.1416)
S
3.141592 3.1416
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14. 4  0 ; –4 is to the left of 0.
I
O
–6 –5 –4 –3 –2 –1 0 1 2
N
15. 4   3 ; –4 is to the left of  3 ,   3    3  3 .
N
O
–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.
C
D
–1.44 –1.43 –1.42 –1.41 –1.40
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2 3 2 3
17.    ;   0.666 is to the right of   0.75 .
3 4 3 4
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–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

Copyright © 2023 Pearson Education, Inc.

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Exam (elaborations)

Solutions Manual for Basic Technical Mathematics and Basic Technical Mathematics with Calculus, 12th Edition by Allyn Washington, Richard Evans, All Chapters 1-31

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