Student's Solutions Manual to accompany College Algebra with Trigonometry

by Barnett, Raymond A.; Ziegler, Michael R.; Byleen, Karl E.; Safier, Fred

• ISBN13: 9780072427363
• ISBN10: 0072427361
• Edition: 7th
• Format: Paperback
• Copyright: 2000-07-13
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

This supplement is available for sale to the student, and includes detailed solutions to all odd-numbered problems and most review exercises.

Author Biography

Raymond A. Barnett received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California Michael R. Ziegler received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing postdoctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he currently holds the rank of Professor in the Department of Mathematics, Statistics, and Computer Science Karl E. Byleen received his B.S., M.A., and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University

Table of Contents

Basic Algebraic Operations	1	(35)
Algebra and Real Numbers	1	(2)
Polynomials: Basic Operations	3	(5)
Polynomials: Factoring	8	(2)
Rational Expression: Basic Operations	10	(6)
Integer Exponents	16	(2)
Rational Exponents	18	(3)
Radicals	21	(15)
Review	25	(11)
Equations and Inequalities	36	(72)
Linear Equations and Applications	36	(7)
Systems of Linear Equations and Applications	43	(8)
Linear Inequalities	51	(5)
Absolute Value in Equations and Inequalities	56	(5)
Complex Numbers	61	(3)
Quadratic Equations and Applications	64	(9)
Equations Reducible to Quadratic Form	73	(9)
Polynomial and Rational Inequalities	82	(26)
Review	93	(15)
Cumulative Review Exercises	108	(18)
Graphs and Functions	126	(77)
Basic Tools; Circles	126	(9)
Straight Lines	135	(10)
Functions	145	(7)
Graphing Functions	152	(14)
Combining Functions	166	(9)
Inverse Functions	175	(28)
Review	188	(15)
Polynomial and Rational Functions	203	(61)
Polynomial Functions and Graphs	203	(5)
Finding Rational Zeros of Polynomials	208	(14)
Approximating Real Zeros of Polynomials	222	(11)
Rational Functions	233	(12)
Partial Fractions	245	(19)
Review	251	(13)
Exponential and Logarithmic Functions	264	(40)
Exponential Functions	264	(6)
The Exponential Function with Base e	270	(6)
Logarithmic Functions	276	(5)
Common and Natural Logarithms	281	(4)
Exponential and Logarithmic Equations	285	(19)
Review	294	(10)
Cumulative Review Exercises	304	(23)
Trigonometric Functions	327	(63)
Angles and Their Measure	327	(3)
Acute Angle Domains	330	(5)
General Angel and Real Number Domains	335	(7)
Exact Values for Special Angles and Real Numbers	342	(6)
Circular Functions	348	(5)
Graphing Basic Trigonometric Functions	353	(2)
Graphing y = k + A sin(Bx + C) and y = k + A cos(Bx + C)	355	(8)
Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions	363	(6)
Inverse Trigonometric Functions	369	(21)
Review	376	(14)
Trigonometric Identities and Conditional Equations	390	(63)
Basic Identities and Their Use	390	(11)
Sum, Difference, and Cofunction Identities	401	(8)
Double-Angle and Half-Angle Identities	409	(9)
Product-Sum and Sum-Product Identities	418	(6)
Trigonometric Equations	424	(29)
Review	436	(17)
Additional Topics in Trigonometry	453	(63)
Law of Sines	453	(9)
Law of Cosines	462	(8)
Geometric Vectors	470	(5)
Algebraic Vectors	475	(6)
Polar Coordinates and Graphs	481	(8)
Complex Numbers in Rectangular and Polar Forms	489	(4)
De Moivre's Theorem	493	(23)
Review	498	(18)
Cumulative Review Exercises	516	(25)
Systems of Equations and Inequalities	541	(65)
Systems of Linear Equations and Augmented Matrices	541	(10)
Gauss-Jordan Elimination	551	(15)
Systems Involving Second-Degree Equations	566	(10)
Systems of Linear Inequalities in Two Variables	576	(6)
Linear Programming	582	(24)
Review	591	(15)
Matrices and Determinants	606	(42)
Matrices: Basic Operations	606	(6)
Inverse of a Square Matrix	612	(7)
Matrix Equations and Systems of Linear Equations	619	(8)
Determinants	627	(5)
Properties of Determinants	632	(4)
Cramer's Rule	636	(12)
Review	639	(9)
Cumulative Review Exercises	648	(14)
Sequences and Series	662	(44)
Sequences and Series	662	(3)
Mathematical Induction	665	(10)
Arithmetic and Geometric Sequences	675	(9)
Binomial Formula	684	(4)
Multiplication Principle, Permutations, and Combinations	688	(18)
Review	693	(13)
Additional Topics in Analytic Geometry	706	(48)
Conic Sections; Parabola	706	(7)
Ellipse	713	(8)
Hyperbola	721	(8)
Translation of Axes	729	(8)
Parametric Equations	737	(17)
Review	744	(10)
Cumulative Review Exercises	754