MAT 115: Precalculus Mathematics Homework Exercises Textbook: A Graphical Approach to Precalculus with Limits: A Unit Circle Approach, Sixth Edition Section R.1, Page 923: Review of Exponents and Polynomials 1, 3, 5, 7, 9, 11, 23, 25, 27, 29, 31, 33, 35, 39, 43, 47, 53, 57, 61 Section R.2, Pages 928-930: Review of Factoring 3, 7, 11, 13, 15, 17, 21, 25, 29, 33, 37, 41, 43, 45, 47, 51, 55, 59, 63, 67, 69, 73, 77, 81, 85 Section R.3, Pages 935-937: Review of Rational Expressions 3, 7, 11, 15, 19, 21, 25, 29, 33, 37, 43, 47, 51, 55, 59, 65, 69 Section R.4, Pages 942-943: Review of Negative and Rational Exponents 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 33, 37, 41, 45, 49, 53, 57, 63, 67 Section R.5, Pages 948-950: Review of Radicals 9, 11, 13, 15, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 63, 67, 71, 75, 79, 83, 87 Section 1.1, Pages 8-11: Real Numbers and the Rectangular Coordinate System 1, 3, 5, 7, 9, 11, 13, 15, 17, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105 Section 1.2, Pages 19-22: Introduction to Relations and Functions 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 53, 57, 61, 65, 69, 75, 77 Section 1.3, Pages 32-35: Linear Functions 1, 5, 9, 13, 17, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95 Section 1.4, Pages 44-48: Equations of Lines and Linear Models 1, 5, 9, 13, 17, 21, 25, 27, 31, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 61, 63, 65, 67 Section 1.5, Pages 61-65: Linear Equations and Inequalities 1, 3, 5, 7, 9, 21, 25, 29, 33, 37, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 79, 83, 87, 91, 95, 99, 103, 105, 107, 109, 111, 113 Section 1.6, Pages 71-76: Applications of Linear Inequalities 1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 41, 43, 45, 49, 53, 57, 61, 63, 65, 67, 69, 71, 73 Section 2.1, Pages 96-99: Graphs of Basic Functions and Relations; Symmetry 59, 61, 63, 65, 67, 69, 71, 73, 75 Section 2.2, Pages 104-108: Vertical and Horizontal Shifts of Graphs 59, 61, 63, 65, 67, 69, 75
Section 2.3, Pages 116-121: Stretching, Shrinking, and Reflecting Graphs 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97 Section 2.4, Pages 128-132: Absolute Value Functions 1, 3, 5, 7, 9, 17, 19, 21, 23, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 95, 97, 99 Section 2.5, Pages 139-143: Piecewise-Defined Functions 1, 3, 5, 7, 9, 13, 17, 21, 23, 25, 29, 33, 35, 37, 51, 55, 59 Section 2.6, Pages 152-157: Operations and Composition 1, 5, 9, 13, 17, 23, 27, 31, 33, 35, 37, 43, 45, 47, 49, 51, 53, 59, 63, 67, 69, 71, 81, 85, 89, 91, 93, 95, 97, 101, 105, 109 Section 3.1, Pages 172-174: Complex Numbers 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 77, 81, 85, 89, 91, 93, 95, 97, 99, 101, 103 Section 3.2, Pages 183-187: Quadratic Functions and Graphs 5, 7, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 55, 57, 61, 65 Section 3.3, Pages 199-202: Quadratic Equations and Inequalities 1, 3, 5, 7, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127 Section 3.4, Pages 207-212: Applications of Quadratic Functions and Models 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 Section 3.5, Pages 221-224: Higher-Degree Polynomial Functions 9, 11, 13, 15, 17, 19, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 59, 63, 67, 71 Section 3.6, Pages 234-236: Topics in the Theory of Polynomial Functions (I) 9, 11, 13, 15, 21, 23, 25, 27, 29, 33, 37, 41, 45, 49, 53, 61, 65, 69, 73, 77, 81, 85, 89 Section 3.7, Pages 245-248: Topics in the Theory of Polynomial Functions (II) 1, 5, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 55, 59, 63, 67, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89 Section 3.8, Pages 256-259: Polynomial Equations and Inequalities; Further Applications and Models 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 39, 41, 43, 49, 51, 53, 57, 61, 65, 69, 73 Section 4.1, Pages 275-276: Rational Functions and Graphs (I) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41 Section 4.2, Pages 286-289: Rational Functions and Graphs (II) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 75, 77, 83, 85
Section 4.3, Pages 299-304: Rational Equations, Inequalities, Models, and Applications 1, 5, 9, 13, 17, 21, 25, 29, 31, 35, 39, 43, 49, 51, 53, 55, 57, 61, 65, 69, 75, 79, 83, 85, 87, 89, 91, 93, 97, 101, 103, 105 Section 4.4, Pages 314-317: Functions Defined by Powers and Roots 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 61, 63, 65, 67, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 101, 105, 109, 113 Section 4.5, Pages 324-327: Equations, Inequalities, and Applications Involving Root Functions 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 71, 73, 75, 79, 83, 87 Section 5.1, Pages 343-346: Inverse Functions 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 55, 59, 63, 67, 71, 75, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 117, 119, 121, 123, 125 Section 5.2, Pages 356-359: Exponential Functions 59, 61, 69, 71, 73, 75, 79 Section 5.3, Pages 367-369: Logarithms and Their Properties 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95 Section 5.4, Pages 376-378: Logarithmic Functions 1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 33, 37, 41, 45, 49, 65, 67 Section 5.5, Pages 385-387: Exponential and Logarithmic Equations and Inequalities 59, 61, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113 Section 5.6, Pages 394-399: Further Applications & Modeling w/ Exponential & Logarithmic Functions 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53 Section 6.1, Pages 419-424: Systems of Equations 7, 9, 11, 15, 19, 23, 27, 29, 33, 37, 41, 45, 47, 51, 53, 55, 57, 59, 63, 67, 71, 77, 81, 85, 89, 93 Section 6.2, Pages 429-432: Solution of Linear Systems in Three Variables 1, 5, 7, 11, 15, 19, 23, 27, 31, 35, 39, 45, 49, 53, 57, 61, 65, 69 Section 6.3, Pages 440-444: Solution of Linear Systems by Row Transformations 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 59, 61, 63, 65, 69, 71 Section 6.4, Pages 453-457: Matrix Properties and Operations 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 41, 43, 45, 47, 49, 53, 57, 61, 65, 69, 73, 79, 81, 83, 85, 87, 89 Section 6.5, Pages 465-467: Determinants and Cramer s Rule 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 27, 31, 35, 37, 41, 43, 45, 47, 57, 61, 65, 69
Section 6.6, Pages 474-478: Solution of Linear Systems by Matrix Inverses 1, 3, 5, 7, 9, 13, 17, 21, 25, 29, 35, 39, 43, 55, 61, 63 Section 6.7, Pages 485-488: Systems of Inequalities and Linear Programming 1, 5, 9, 13, 17, 25, 27, 29, 31, 33, 35, 39, 43, 47, 51, 55, 59, 65, 67, 69, 71, 73, 75, 77, 81, 83, 85, 87, 91, 93 Section 6.8, Page 494: Partial Fractions 1, 5, 9, 13, 17, 21, 25, 29 Section 7.1, Pages 514-517: Circles and Parabolas 1, 3, 5, 7, 9, 13, 17, 21, 25, 29, 33, 37, 41, 43, 45, 49, 53, 57, 59, 61, 63, 67, 69, 71, 73, 75, 79, 83, 87, 91, 93, 97, 101, 105, 109, 113, 119, 123 Section 7.2, Pages 526-530: Ellipses and Hyperbolas 1, 3, 5, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 93, 95 Section 7.3, Pages 538-541: The Conic Sections and Nonlinear Systems 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85 Section 7.4, Pages 544-545: Parametric Equations 1, 3, 5, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45 Section 8.1, Pages 564-569: Angles, Arcs, and Their Measures 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 115, 117, 119, 121, 123, 127, 131, 135 Section 8.2, Pages 577-580: The Unit Circle and Its Functions 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 99, 101, 103, 105 Section 8.3, Pages 592-597: Graphs of the Sine and Cosine Functions 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87 Section 8.4, Pages 607-609: Graphs of the Other Circular Functions 1, 3, 5, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79 Section 8.5, Pages 619-621: Functions of Angles and Fundamental Identities 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115 Section 8.6, Pages 631-634: Evaluating Trigonometric Functions 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 109, 111, 113
Section 8.7, Pages 641-645: Applications of Right Triangles 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 25, 29, 33, 37, 41, 45, 49, 57, 59, 61 Section 8.8, Pages 648-649: Harmonic Motion 1, 3, 5, 7, 11, 13, 15, 17 Section 9.1, Pages 666-669: Trigonometric Identities 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109 Section 9.2, Pages 676-678: Sum and Difference Identities 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 31, 35, 39, 43, 49, 51, 53, 55, 57, 59, 63 Section 9.3, Pages 687-690: Further Identities 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 29, 33, 37, 43, 45, 47, 49, 53, 57, 61, 65, 67, 69, 71, 73, 79, 83, 87, 91, 95, 99, 103 Section 9.4, Pages 700-703: The Inverse Circular Functions 59, 61, 63, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111 Section 9.5, Pages 709-711: Trigonometric Equations and Inequalities (I) 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 29, 33, 37, 41, 45, 51, 53, 55, 57, 59, 61, 65, 69, 73, 79, 81, 83 Section 9.6, Pages 717-720: Trigonometric Equations and Inequalities (II) 3, 5, 7, 9, 11, 13, 15, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45 Section 10.1, Pages 735-740: The Law of Sines 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 43, 47, 51, 57, 61, 65, 69, 73 Section 10.2, Pages 746-751: The Law of Cosines and Area Formulas 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 51, 55, 59, 63, 67, 71, 77, 79, 81, 83 Section 10.3, Pages 760-765: Vectors and Their Applications 5, 9, 13, 17, 21, 25, 29, 33, 37, 45, 49, 53, 57, 61, 65, 67, 71, 75, 77, 79, 83, 85, 87, 89, 91 Section 10.4, Pages 771-773: Trigonometric (Polar) Form of Complex Numbers 3, 5, 7, 9, 11, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75 Section 10.5, Pages 778-780: Powers and Roots of Complex Numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 51, 53, 55, 57 Section 10.6, Pages 786-788: Polar Equations and Graphs 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 55, 57, 59, 61, 63, 65, 67, 69, 71
Section 10.7, Pages 794-797: More Parametric Equations 1, 3, 5, 7, 9, 11, 15, 19, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 51, 53, 55 Section 11.1, Pages 813-815: Sequences and Series 1, 3, 5, 7, 9, 21, 23, 25, 27, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 75 Section 11.2, Pages 821-823: Arithmetic Sequences and Series 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 33, 37, 51, 53, 55, 57, 59, 63, 71, 73, 75, 77, 79 Section 11.3, Pages 829-832: Geometric Sequences and Series 1, 3, 5, 9, 13, 17, 19, 21, 23, 27, 31, 35, 47, 49, 51, 55, 59, 63, 73, 77, 81, 85, 89 Section 11.4, Pages 839-842: Counting Theory 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71 Section 11.5, Pages 847-848: The Binomial Theorem 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45 Section 11.6, Pages 854-855: Mathematical Induction 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 Section 11.7, Pages 861-863: Probability 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49 Section 12.1, Pages 877-879: An Introduction to Limits 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 27, 29, 33, 37, 41, 45, 49, 53 Section 12.2, Pages 884-885: Techniques for Calculating Limits 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 Section 12.3, Pages 891-893: One-Sided Limits and Limits Involving Infinity 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 33, 37, 41, 45, 49 Section 12.4, Pages 902-904: Tangent Lines and Derivatives 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 29, 31, 41, 45, 49, 53, 57, 59, 61, 63 Section 12.5, Pages 909-910: Area and the Definite Integral 1, 3, 7, 11, 15, 17, 19, 21