Basic Technical Mathematics with Calculus, 12th edition
SOLUTIONS
DR
Basic Technical
E AM
Mathematics with
Calculus, 12th edition
AC
HI
Authors:
Allyn J. Washington
VE
◊ ALL CHAPTERS COVERED
RS
◊ INSTANT PDF DOWNLOAD💯💯💯
??
◊ ORIGINAL FROM PUBLISHER
?
DREAMACHIVERS ©2025
, Instructor's Solutions Manual for
Basic Technical Mathematics and
Basic Technical Mathematics with Calculus, 12th Edition
Chapter 1 Basic Algebraic Operations .....................................................................................1
DR
Chapter 2 Geometry..............................................................................................................104
Chapter 3 Functions and Graphs ..........................................................................................171
E
Chapter 4 The Trigonometric Functions ..............................................................................259
AM
Chapter 5 Systems of Linear Equations; Determinants ........................................................346
Chapter 6 Factoring and Fractions........................................................................................490
Chapter 7 Quadratic Equations .............................................................................................581
AC
Chapter 8 Trigonometric Functions of Any Angle ...............................................................666
Chapter 9 Vectors and Oblique Triangles ............................................................................723
Chapter 10 Graphs of the Trigonometric Functions ...............................................................828
HI
Chapter 11 Exponents and Radicals .......................................................................................919
VE
Chapter 12 Complex Numbers .............................................................................................1001
Chapter 13 Exponential and Logarithmic Functions ............................................................1090
Chapter 14 Additional Types of Equations and Systems of Equations ................................1183
RS
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
DR
Chapter 25 Integration ..........................................................................................................2487
Chapter 26 Applications of Integration ................................................................................2572
E
Chapter 27 Differentiation of Transcendental Functions .....................................................2701
AM
Chapter 28 Methods of Integration .......................................................................................2839
Chapter 29 Partial Derivatives and Double Integrals ...........................................................2991
Chapter 30 Expansion of Functions in Series .......................................................................3058
AC
Chapter 31 Differential Equations ........................................................................................3181
HI
VE
RS
??
?
, 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
DR
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.
E
–7 –6 –5 –4 –3 –2 –1 0 1
AM
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.
AC
7
6. is irrational (because 7 is an irrational number) and real.
3
6
6 is an integer, rational , and real.
1
HI
7. is irrational (because is an irrational number) and real.
6
1
VE
is rational and real.
8
8. 6 is imaginary.
233
2.33 is rational and real.
RS
100
9. 3 3
3 3
??
2 2
10. 0.857 0.857
?
2 2
19 19
4 4
Copyright © 2023 Pearson Education, Inc. 1
SOLUTIONS
DR
Basic Technical
E AM
Mathematics with
Calculus, 12th edition
AC
HI
Authors:
Allyn J. Washington
VE
◊ ALL CHAPTERS COVERED
RS
◊ INSTANT PDF DOWNLOAD💯💯💯
??
◊ ORIGINAL FROM PUBLISHER
?
DREAMACHIVERS ©2025
, Instructor's Solutions Manual for
Basic Technical Mathematics and
Basic Technical Mathematics with Calculus, 12th Edition
Chapter 1 Basic Algebraic Operations .....................................................................................1
DR
Chapter 2 Geometry..............................................................................................................104
Chapter 3 Functions and Graphs ..........................................................................................171
E
Chapter 4 The Trigonometric Functions ..............................................................................259
AM
Chapter 5 Systems of Linear Equations; Determinants ........................................................346
Chapter 6 Factoring and Fractions........................................................................................490
Chapter 7 Quadratic Equations .............................................................................................581
AC
Chapter 8 Trigonometric Functions of Any Angle ...............................................................666
Chapter 9 Vectors and Oblique Triangles ............................................................................723
Chapter 10 Graphs of the Trigonometric Functions ...............................................................828
HI
Chapter 11 Exponents and Radicals .......................................................................................919
VE
Chapter 12 Complex Numbers .............................................................................................1001
Chapter 13 Exponential and Logarithmic Functions ............................................................1090
Chapter 14 Additional Types of Equations and Systems of Equations ................................1183
RS
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
DR
Chapter 25 Integration ..........................................................................................................2487
Chapter 26 Applications of Integration ................................................................................2572
E
Chapter 27 Differentiation of Transcendental Functions .....................................................2701
AM
Chapter 28 Methods of Integration .......................................................................................2839
Chapter 29 Partial Derivatives and Double Integrals ...........................................................2991
Chapter 30 Expansion of Functions in Series .......................................................................3058
AC
Chapter 31 Differential Equations ........................................................................................3181
HI
VE
RS
??
?
, 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
DR
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.
E
–7 –6 –5 –4 –3 –2 –1 0 1
AM
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.
AC
7
6. is irrational (because 7 is an irrational number) and real.
3
6
6 is an integer, rational , and real.
1
HI
7. is irrational (because is an irrational number) and real.
6
1
VE
is rational and real.
8
8. 6 is imaginary.
233
2.33 is rational and real.
RS
100
9. 3 3
3 3
??
2 2
10. 0.857 0.857
?
2 2
19 19
4 4
Copyright © 2023 Pearson Education, Inc. 1
