MAT 115: Precalculus Mathematics Homework Exercises Textbook: A Graphical Approach to Precalculus with Limits: A Unit Circle Approach, Sixth Edition
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1 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 : 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 : 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 : 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 : 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 : Vertical and Horizontal Shifts of Graphs 59, 61, 63, 65, 67, 69, 75
2 Section 2.3, Pages : 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 : 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 : Piecewise-Defined Functions 1, 3, 5, 7, 9, 13, 17, 21, 23, 25, 29, 33, 35, 37, 51, 55, 59 Section 2.6, Pages : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : Rational Functions and Graphs (I) 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41 Section 4.2, Pages : 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
3 Section 4.3, Pages : 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 : 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 : 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 : 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 : Exponential Functions 59, 61, 69, 71, 73, 75, 79 Section 5.3, Pages : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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
4 Section 6.6, Pages : 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 : 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 : 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 : 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 : 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 : Parametric Equations 1, 3, 5, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45 Section 8.1, Pages : 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 : 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 : 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 : 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 : 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 : 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
5 Section 8.7, Pages : 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 : Harmonic Motion 1, 3, 5, 7, 11, 13, 15, 17 Section 9.1, Pages : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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
6 Section 10.7, Pages : 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 : 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 : 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 : 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 : 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 : 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 : Mathematical Induction 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31 Section 11.7, Pages : Probability 1, 3, 5, 7, 9, 11, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49 Section 12.1, Pages : 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 : 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 : 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 : 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 : Area and the Definite Integral 1, 3, 7, 11, 15, 17, 19, 21
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