Basic Technical Mathematics and Basic Technical
ST
Mathematics with Calculus – 12th Edition
SOLUTIONS
UV
IA
MANUAL
_A
PP
Allyn J. Washington
Richard Evans
RO
VE
Comprehensive Solutions Manual for Instructors
and Students
D?
© Allyn J. Washington & Richard Evans
??
All rights reserved. Reproduction or distribution without permission is prohibited.
©STUDYSTREAM
, Instructor's Solutions Manual for
Basic Technical Mathematics and
ST
Basic Technical Mathematics with Calculus, 12th Edition
Chapter 1 Basic Algebraic Operations .....................................................................................1
UV
Chapter 2 Geometry..............................................................................................................104
Chapter 3 Functions and Graphs ..........................................................................................171
Chapter 4 The Trigonometric Functions ..............................................................................259
IA
Chapter 5 Systems of Linear Equations; Determinants ........................................................346
Chapter 6 Factoring and Fractions........................................................................................490
_A
Chapter 7 Quadratic Equations .............................................................................................581
Chapter 8 Trigonometric Functions of Any Angle ...............................................................666
PP
Chapter 9 Vectors and Oblique Triangles ............................................................................723
Chapter 10 Graphs of the Trigonometric Functions ...............................................................828
Chapter 11 Exponents and Radicals .......................................................................................919
RO
Chapter 12 Complex Numbers .............................................................................................1001
Chapter 13 Exponential and Logarithmic Functions ............................................................1090
Chapter 14 Additional Types of Equations and Systems of Equations ................................1183
VE
Chapter 15 Equations of Higher Degree...............................................................................1290
Chapter 16 Matrices; Systems of Linear Equations .............................................................1356
D?
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
ST
Chapter 23 The Derivative ...................................................................................................2126
Chapter 24 Applications of the Derivative ...........................................................................2310
UV
Chapter 25 Integration ..........................................................................................................2487
Chapter 26 Applications of Integration ................................................................................2572
Chapter 27 Differentiation of Transcendental Functions .....................................................2701
IA
Chapter 28 Methods of Integration .......................................................................................2839
Chapter 29 Partial Derivatives and Double Integrals ...........................................................2991
_A
Chapter 30 Expansion of Functions in Series .......................................................................3058
Chapter 31 Differential Equations ........................................................................................3181
PP
RO
VE
D?
??
, Chapter 1
Basic Algebraic Operations
ST
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
UV
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.
IA
–7 –6 –5 –4 –3 –2 –1 0 1
3 1 2 2
4. The reciprocal of is 1 .
2 3/ 2 3 3
_A
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.
PP
3
6
6 is an integer, rational , and real.
1
7. is irrational (because is an irrational number) and real.
RO
6
1
is rational and real.
8
8. 6 is imaginary.
233
2.33 is rational and real.
VE
100
9. 3 3
3 3
D?
2 2
10. 0.857 0.857
2 2
19 19
??
4 4
Copyright © 2023 Pearson Education, Inc. 1
ST
Mathematics with Calculus – 12th Edition
SOLUTIONS
UV
IA
MANUAL
_A
PP
Allyn J. Washington
Richard Evans
RO
VE
Comprehensive Solutions Manual for Instructors
and Students
D?
© Allyn J. Washington & Richard Evans
??
All rights reserved. Reproduction or distribution without permission is prohibited.
©STUDYSTREAM
, Instructor's Solutions Manual for
Basic Technical Mathematics and
ST
Basic Technical Mathematics with Calculus, 12th Edition
Chapter 1 Basic Algebraic Operations .....................................................................................1
UV
Chapter 2 Geometry..............................................................................................................104
Chapter 3 Functions and Graphs ..........................................................................................171
Chapter 4 The Trigonometric Functions ..............................................................................259
IA
Chapter 5 Systems of Linear Equations; Determinants ........................................................346
Chapter 6 Factoring and Fractions........................................................................................490
_A
Chapter 7 Quadratic Equations .............................................................................................581
Chapter 8 Trigonometric Functions of Any Angle ...............................................................666
PP
Chapter 9 Vectors and Oblique Triangles ............................................................................723
Chapter 10 Graphs of the Trigonometric Functions ...............................................................828
Chapter 11 Exponents and Radicals .......................................................................................919
RO
Chapter 12 Complex Numbers .............................................................................................1001
Chapter 13 Exponential and Logarithmic Functions ............................................................1090
Chapter 14 Additional Types of Equations and Systems of Equations ................................1183
VE
Chapter 15 Equations of Higher Degree...............................................................................1290
Chapter 16 Matrices; Systems of Linear Equations .............................................................1356
D?
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
ST
Chapter 23 The Derivative ...................................................................................................2126
Chapter 24 Applications of the Derivative ...........................................................................2310
UV
Chapter 25 Integration ..........................................................................................................2487
Chapter 26 Applications of Integration ................................................................................2572
Chapter 27 Differentiation of Transcendental Functions .....................................................2701
IA
Chapter 28 Methods of Integration .......................................................................................2839
Chapter 29 Partial Derivatives and Double Integrals ...........................................................2991
_A
Chapter 30 Expansion of Functions in Series .......................................................................3058
Chapter 31 Differential Equations ........................................................................................3181
PP
RO
VE
D?
??
, Chapter 1
Basic Algebraic Operations
ST
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
UV
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.
IA
–7 –6 –5 –4 –3 –2 –1 0 1
3 1 2 2
4. The reciprocal of is 1 .
2 3/ 2 3 3
_A
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.
PP
3
6
6 is an integer, rational , and real.
1
7. is irrational (because is an irrational number) and real.
RO
6
1
is rational and real.
8
8. 6 is imaginary.
233
2.33 is rational and real.
VE
100
9. 3 3
3 3
D?
2 2
10. 0.857 0.857
2 2
19 19
??
4 4
Copyright © 2023 Pearson Education, Inc. 1
