.png){kind=logo}
SOLUTIONS MANUAL
FOR
BASIC TECHNICAL
MATHEMATICS
AND
BASIC TECHNICAL
MATHEMATICS WITH CALCULUS
ELEVENTH EDITION
Allyn J. Washington Richard S. Evans (Download Link at the end of this File) 1 / 4
Solutions Manual for Basic Technical Mathematics and B asic Technical Mathematics with Calculus, 11th 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 2 / 4
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
- / 4
Copyright © 2018 Pearson Education, Inc. 1 Chapter 1
Basic Algebraic Operations
1.1 Numbers
- The numbers –7 and 12 are integers. They are also rational numbers since they can be written as
7 1 − and 12 1 .
- The absolute value of –6 is 6, and the absolute value of –7 is 7. We write these as
66−= and 77−=.
- 64−<−; –6 is to the left of –4.
–7 –6 –5 –4 –3 –2 –1 0 1
- The reciprocal of
3 2 is 122 1
3/2 3 3
=× = .
- 3 is an integer, rational
3 1
, and real.
4− is imaginary.
6.7 3 is irrational (because
- is an irrational number) and real.
6− is an integer, rational 1
6
− , and real.
7.6 π − is irrational (because π is an irrational number) and real.
1 8 is rational and real.
8.6−− is imaginary.
233 2.33 100 − −= is rational and real.
9.33=
33−=
22 ππ −=
10. 0.857 0.857−=
22=
19 19 44 −=
- / 4
.png)