{"id":1222,"date":"2023-06-05T14:49:27","date_gmt":"2023-06-05T14:49:27","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/problem-sets-with-solutions\/"},"modified":"2023-06-05T14:49:27","modified_gmt":"2023-06-05T14:49:27","slug":"problem-sets-with-solutions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/tulsacc-math1613\/chapter\/problem-sets-with-solutions\/","title":{"raw":"Problem Sets with Solutions","rendered":"Problem Sets with Solutions"},"content":{"raw":"\n<h3><img class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2043\/2018\/01\/22172652\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\"><\/h3>\n<em><strong>Note:<\/strong>&nbsp;These problem sets also appear on the Problem Sets page of this book. This page is reserved for instructor access only, and it also contains available answer keys and solution guides. It is your responsibility to handle answer keys and assignment solutions securely and appropriately to prevent them from being widely available and searchable via the Internet.<\/em>\n\nThe problem sets in this course are openly licensed, and are available as-is, or can be modified to suit your students\u2019 needs.&nbsp;In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.\n<h2>Module 1: Introduction to Functions<\/h2>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-1\/\">Problem Set 1: Functions and Function Notation<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10767\">Solutions 1: Functions and Function Notation<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-2-domain-and-range\/\">Problem Set 2: Domain and Range<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10855\">Solutions 2: Domain and Range<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-3-rates-of-change-and-behavior-of-graphs\/\">Problem Set 3: Rates of Change and Behavior of Graphs<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10867\">Solutions 3: Rates of Change and Behavior of Graphs<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-4-composition-of-functions\/\">Problem Set 4: Composition of Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10861\">Solutions 4: Composition of Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-5-transformation-of-functions\/\">Problem Set 5: Transformation of Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10873\">Solutions 5: Transformation of Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-6-absolute-value-functions\/\">Problem Set 6: Absolute Value Functions<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10941\">Solutions 6: Absolute Value Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-7-inverse-functions\/\">Problem Set 7: Inverse Functions<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10879\">Solutions 7: Inverse Functions<\/a><\/li>\n<\/ul>\n<h2>Module 2: Linear Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-8-linear-functions\/\">Problem Set 8: Linear Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10947\">Solutions 8: Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-9-graphs-of-linear-functions\/\">Problem Set 9: Graphs of Linear Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10988\">Solutions 9: Graphs of Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-10-modeling-with-linear-functions\/\">Problem Set 10: Modeling with Linear Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11004\">Solutions 10: Modeling with Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-11-fitting-linear-models-to-data\/\">Problem Set 11: Fitting Linear Models to Data<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11506\">Solutions 11: Fitting Linear Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 3: Polynomial and Rational Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-12-complex-numbers\/\">Problem Set 12: Complex Numbers<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11186\">Solutions 12: Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-13-quadratic-functions\/\">Problem Set 13: Quadratic Functions<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11042\">Solutions 13: Quadratic Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-14-power-functions-and-polynomial-functions\/\">Problem Set 14: Power Functions and Polynomial Functions<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11059\">Solutions 14: Power Functions and Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-15-graphs-of-polynomial-functions\/\">Problem Set 15: Graphs of Polynomial Functions<\/a><\/li>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11082\">Solutions 15: Graphs of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-16-dividing-polynomials\/\">Problem Set 16: Dividing Polynomials<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11095\">Solutions 16: Dividing Polynomials<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-17-zeros-of-polynomial-functions\/\">Problem Set 17: Zeros of Polynomial Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11119\">Solutions 17: Zeros of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-18-rational-functions\/\">Problem Set 18: Rational Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11141\">Solutions 18: Rational Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-19-inverse-functions\/\">Problem Set 19: Inverse and Radical Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11154\">Solutions 19: Inverses and Radical Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-20-modeling-using-variation\/\">Problem Set 20: Modeling Using Variation<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11169\">Solutions 20: Modeling Using Variation<\/a><\/li>\n<\/ul>\n<h2>Module 4: Exponential and Logarithmic Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-21-exponential-functions\/\">Problem Set 21: Exponential Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11292\">Solutions 21: Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-22-graphs-of-exponential-functions\/\">Problem Set 22: Graphs of Exponential Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11305\">Solutions 22: Graphs of Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-23-logarithmic-functions\/\">Problem Set 23: Logarithmic Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11324\">Solutions 23: Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-24-graphs-of-logarithmic-functions\/\">Problem Set 24: Graphs of Logarithmic Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11199\">Solutions 24: Graphs of Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-25-logarithmic-properties\/\">Problem Set 25: Logarithmic Properties<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11220\">Solutions 25: Logarithmic Properties<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-26-exponential-and-logarithmic-equations\/\">Problem Set 26: Exponential and Logarithmic Equations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11240\">Solutions 26: Exponential and Logarithmic Equations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a class=\"\" href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-27-exponential-and-logarithmic-models\/\">Problem Set 27: Exponential and Logarithmic Models<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11260\">Solutions 27: Exponential and Logarithmic Models<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-28-fitting-exponential-models-to-data\/\">Problem Set 28: Fitting Exponential Models to Data<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11275\">Solutions 28: Fitting Exponential Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 5: Systems of Equations and Inequalities<\/h2>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-29-systems-of-linear-equations-two-variables\/\">Problem Set 29: Systems of Linear Equations: Two Variables<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-systems-of-linear-equations-two-variables\/\">Solutions 29: Systems of Linear Equations: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-30-systems-of-linear-equations-three-variables\/\">Problem Set 30: Systems of Linear Equations: Three Variables<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-systems-of-linear-equations-three-variables\/\">Solutions 30: Systems of Linear Equations: Three Variables<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-31-systems-of-nonlinear-equations-and-inequalities-two-variables\/\">Problem Set 31: Systems of Nonlinear Equations and Inequalities: Two Variables<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-systems-of-nonlinear-equations-and-inequalities-two-variables\/\">Solutions 31: Systems of Nonlinear Equations and Inequalities: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a style=\"font-size: 1em;\" href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-32-partial-fractions\/\">Problem Set 32: Partial Fractions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-partial-fractions\/\">Solutions 32: Partial Fractions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-33-matrices-and-matrix-operations\/\">Problem Set 33: Matrices and Matrix Operations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-matrices-and-matrix-operations\/\">Solutions 33: Matrices and Matrix Operations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-34-solving-systems-with-gaussian-elimination\/\">Problem Set 34: Solving Systems with Gaussian Elimination<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-systems-with-gaussian-elimination\/\">Solutions 34: Solving Systems with Gaussian Elimination<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-35-solving-systems-with-inverses\/\">Problem Set 35: Solving Systems with Inverses<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-systems-with-inverses\/\">Solutions 35: Solving Systems with Inverses<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-36-solving-systems-with-cramers-rule\/\">Problem Set 36: Solving Systems with Cramer's Rule<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-systems-with-cramers-rule\/\">Solutions 36: Solving Systems with Cramer's Rule<\/a><\/li>\n<\/ul>\n<h2>Module 6: Sequences, Probability, and Counting Theory<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-37-sequences-and-their-notations\/\">Problem Set 37: Sequences and Their Notations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14777\">Solutions 37: Sequences and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-38-arithmetic-sequences\/\">Problem Set 38: Arithmetic Sequences<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14794\">Solutions 38: Arithmetic Sequences<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-39-geometric-sequences\/\">Problem Set 39: Geometric Sequences<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14804\">Solutions 39: Geometric Sequences<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-40-series-and-their-notations\/\">Problem Set 40: Series and Their Notations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14809\">Solutions 40: Series and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-41-counting-principles\/\">Problem Set 41: Counting Principles<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-counting-principles\/\">Solutions 41: Counting Principles<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-42-binomial-theorem\/\">Problem Set 42: Binomial Theorem<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-binomial-theorem\/\">Solutions 42: Binomial Theorem<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-43-probability\/\">Problem Set 43: Probability<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-probability\/\">Solutions 43: Probability<\/a><\/li>\n<\/ul>\n<h2>Module 7: Trigonometric Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-44-angles\/\">Problem Set 44: Angles<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-angles\/\">Solutions 44: Angles<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-45-unit-circle-sine-and-cosine-functions\/\">Problem Set 45: Unit Circle: Sine and Cosine Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-unit-circle-sine-and-cosine-angles\/\">Solutions 45: Unit Circle: Sine and Cosine Angles<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-46-the-other-trigonometric-functions\/\">Problem Set 46: The Other Trigonometric Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-other-trigonometric-functions\/\">Solutions 46: Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-47-right-triangle-trigonometry\/\">Problem Set 47: Right Triangle Trigonometry<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-right-triangle-trigonometry\/\">Solutions 47: Right Triangle Trigonometry<\/a><\/li>\n<\/ul>\n<h2>Module 8: Periodic Functions<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-48-graphs-of-the-sine-and-cosine-function\/\">Problem Set 48: Graphs of the Sine and Cosine Function<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-to-graphs-of-the-sine-and-cosine-function\/\">Solutions 48: Graphs of the Sine and Cosine Function<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-49-graphs-of-the-other-trigonometric-functions\/\">Problem Set 49: Graphs of the Other Trigonometric Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-other-trigonometric-functions-2\/\">Solutions 49: Graphs of Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-50-inverse-trigonometric-functions\/\">Problem Set 50: Inverse Trigonometric Functions<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-inverse-trigonometric-functions\/\">Solutions 50: Inverse Trigonometric Functions<\/a><\/li>\n<\/ul>\n<h2>Module 9: Trigonometric Identities and Equations<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-51-solving-trigonometric-equations-with-identities\/\">Problem Set 51: Solving Trigonometric Equations With Identities<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-trigonometric-equations-with-identities\/\">Solutions 51: Solving Trigonometric Equations with Identities<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-52-sum-and-difference-identities\/\">Problem Set 52: Sum and Difference Identities<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-sum-and-difference-identities\/\">Solutions 52: Sum and Difference Identities<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-53-double-angle-half-angle-and-reduction-formulas\/\">Problem Set 53: Double Angle, Half Angle, and Reduction Formulas<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-double-angle-half-angle-and-reduction-formulas\/\">Solutions 53: Double-Angle, Half-Angle, and Reduction Formulas<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-54-sum-to-product-and-product-to-sum-formulas\/\">Problem Set 54: Sum-to-Product and Product-to-Sum Formulas<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-sum-to-product-and-product-to-sum-formulas\/\">Solutions 54: Sum-to-Product and Product-to-Sum Formulas<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-55-solving-trigonometric-equations\/\">Problem Set 55: Solving Trigonometric Equations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-trigonometric-equations\/\">Solutions 55: Solving Trigonometric Equations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-56-modeling-with-trigonometric-equations\/\">Problem Set 56: Modeling with Trigonometric Equations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-modeling-with-trigonometric-equations\/\">Solutions 56: Modeling with Trigonometric Equations<\/a><\/li>\n<\/ul>\n<h2>Module 10: Further Applications of Trigonometry<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-57-non-right-triangles-law-of-sines\/\">Problem Set 57: Non-right Triangles: Law of Sines<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-non-right-triangles-law-of-sines\/\">Solutions 57: Non-Right Triangles: Law of Sines<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-58-non-right-triangles-law-of-cosines\/\">Problem Set 58: Non-right Triangles: Law of Cosines<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-non-right-triangles-law-of-cosines\/\">Solutions 58: Non-Right Triangles: Law of Cosines<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-59-polar-coordinates\/\">Problem Set 59: Polar Coordinates<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-polar-coordinates\/\">Solutions 59: Polar Coordinates<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-60-polar-coordinates-graphs\/\">Problem Set 60: Polar Coordinates: Graphs<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-polar-coordinates-graphs\/\">Solutions 60: Polar Coordinates: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-61-polar-form-of-complex-numbers\/\">Problem Set 61: Polar Form of Complex Numbers<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-polar-form-of-complex-numbers\/\">Solutions 61: Polar Form of Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-62-parametric-equations\/\">Problem Set 62: Parametric Equations<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-parametric-equations\/\">Solutions 62: Parametric Equations<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-63-parametric-equations-graphs\/\">Problem Set 63: Parametric Equations: Graphs<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-parametric-equations-graphs\/\">Solutions 63: Parametric Equations: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-64-vectors\/\">Problem Set 64: Vectors<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-vectors\/\">Solutions 64: Vectors<\/a><\/li>\n<\/ul>\n<h2>Module 11: Analytic Geometry<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-65-the-ellipse\/\">Problem Set 65: The Ellipse<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-ellipse\/\">Solutions 65: The Ellipse<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-66-the-hyperbola\/\">Problem Set 66: The Hyperbola<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-hyperbola\/\">Solutions 66: The Hyperbola<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-67-the-parabola\/\">Problem Set 67: The Parabola<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-parabola\/\">Solutions 67: The Parabola<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-68-rotation-of-axes\/\">Problem Set 68: Rotation of Axes<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-rotation-of-axes\/\">Solutions 68: Rotation of Axes<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-69-conic-sections-in-polar-coordinates\/\">Problem Set 69: Conic Sections in Polar Coordinates<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-conic-sections-in-polar-coordinates\/\">Solutions 69: Conic Sections in Polar Coordinates<\/a><\/li>\n<\/ul>\n<h2>Module 12: Introduction to Calculus<\/h2>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-70-finding-limits-numerical-and-graphical-approaches\/\">Problem Set 70: Finding Limits: Numerical and Graphical Approaches<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-finding-limits-numerical-and-graphical-approaches\/\">Solutions 70: Finding Limits: Numerical and Graphical Approaches<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-71-finding-limits-properties-of-limits\/\">Problem Set 71: Finding Limits: Properties of Limits<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solution-to-finding-limits-properties-of-limits\/\">Solutions 71: Finding Limits: Properties of Limits<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-72-continuity\/\">Problem Set 72: Continuity<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-continuity\/\">Solutions 72: Continuity<\/a><\/li>\n<\/ul>\n<ul>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-73-derivatives\/\">Problem Set 73: Derivatives<\/a><\/li>\n \t<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-derivatives\/\">Solutions 73: Derivatives<\/a><\/li>\n<\/ul>\n","rendered":"<h3><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-244\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2043\/2018\/01\/22172652\/puzzle-e1509574823899.png\" alt=\"icon of two puzzle pieces\" width=\"200\" height=\"200\" \/><\/h3>\n<p><em><strong>Note:<\/strong>&nbsp;These problem sets also appear on the Problem Sets page of this book. This page is reserved for instructor access only, and it also contains available answer keys and solution guides. It is your responsibility to handle answer keys and assignment solutions securely and appropriately to prevent them from being widely available and searchable via the Internet.<\/em><\/p>\n<p>The problem sets in this course are openly licensed, and are available as-is, or can be modified to suit your students\u2019 needs.&nbsp;In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.<\/p>\n<h2>Module 1: Introduction to Functions<\/h2>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-1\/\">Problem Set 1: Functions and Function Notation<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10767\">Solutions 1: Functions and Function Notation<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-2-domain-and-range\/\">Problem Set 2: Domain and Range<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10855\">Solutions 2: Domain and Range<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-3-rates-of-change-and-behavior-of-graphs\/\">Problem Set 3: Rates of Change and Behavior of Graphs<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10867\">Solutions 3: Rates of Change and Behavior of Graphs<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-4-composition-of-functions\/\">Problem Set 4: Composition of Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10861\">Solutions 4: Composition of Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-5-transformation-of-functions\/\">Problem Set 5: Transformation of Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10873\">Solutions 5: Transformation of Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-6-absolute-value-functions\/\">Problem Set 6: Absolute Value Functions<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10941\">Solutions 6: Absolute Value Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-7-inverse-functions\/\">Problem Set 7: Inverse Functions<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10879\">Solutions 7: Inverse Functions<\/a><\/li>\n<\/ul>\n<h2>Module 2: Linear Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-8-linear-functions\/\">Problem Set 8: Linear Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10947\">Solutions 8: Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-9-graphs-of-linear-functions\/\">Problem Set 9: Graphs of Linear Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=10988\">Solutions 9: Graphs of Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-10-modeling-with-linear-functions\/\">Problem Set 10: Modeling with Linear Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11004\">Solutions 10: Modeling with Linear Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-11-fitting-linear-models-to-data\/\">Problem Set 11: Fitting Linear Models to Data<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11506\">Solutions 11: Fitting Linear Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 3: Polynomial and Rational Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-12-complex-numbers\/\">Problem Set 12: Complex Numbers<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11186\">Solutions 12: Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-13-quadratic-functions\/\">Problem Set 13: Quadratic Functions<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11042\">Solutions 13: Quadratic Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-14-power-functions-and-polynomial-functions\/\">Problem Set 14: Power Functions and Polynomial Functions<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11059\">Solutions 14: Power Functions and Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-15-graphs-of-polynomial-functions\/\">Problem Set 15: Graphs of Polynomial Functions<\/a><\/li>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11082\">Solutions 15: Graphs of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-16-dividing-polynomials\/\">Problem Set 16: Dividing Polynomials<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11095\">Solutions 16: Dividing Polynomials<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-17-zeros-of-polynomial-functions\/\">Problem Set 17: Zeros of Polynomial Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11119\">Solutions 17: Zeros of Polynomial Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-18-rational-functions\/\">Problem Set 18: Rational Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11141\">Solutions 18: Rational Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-19-inverse-functions\/\">Problem Set 19: Inverse and Radical Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11154\">Solutions 19: Inverses and Radical Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-20-modeling-using-variation\/\">Problem Set 20: Modeling Using Variation<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11169\">Solutions 20: Modeling Using Variation<\/a><\/li>\n<\/ul>\n<h2>Module 4: Exponential and Logarithmic Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-21-exponential-functions\/\">Problem Set 21: Exponential Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11292\">Solutions 21: Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-22-graphs-of-exponential-functions\/\">Problem Set 22: Graphs of Exponential Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11305\">Solutions 22: Graphs of Exponential Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-23-logarithmic-functions\/\">Problem Set 23: Logarithmic Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11324\">Solutions 23: Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-24-graphs-of-logarithmic-functions\/\">Problem Set 24: Graphs of Logarithmic Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11199\">Solutions 24: Graphs of Logarithmic Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-25-logarithmic-properties\/\">Problem Set 25: Logarithmic Properties<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11220\">Solutions 25: Logarithmic Properties<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-26-exponential-and-logarithmic-equations\/\">Problem Set 26: Exponential and Logarithmic Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11240\">Solutions 26: Exponential and Logarithmic Equations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a class=\"\" href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-27-exponential-and-logarithmic-models\/\">Problem Set 27: Exponential and Logarithmic Models<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11260\">Solutions 27: Exponential and Logarithmic Models<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-28-fitting-exponential-models-to-data\/\">Problem Set 28: Fitting Exponential Models to Data<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=11275\">Solutions 28: Fitting Exponential Models to Data<\/a><\/li>\n<\/ul>\n<h2>Module 5: Systems of Equations and Inequalities<\/h2>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-29-systems-of-linear-equations-two-variables\/\">Problem Set 29: Systems of Linear Equations: Two Variables<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-systems-of-linear-equations-two-variables\/\">Solutions 29: Systems of Linear Equations: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-30-systems-of-linear-equations-three-variables\/\">Problem Set 30: Systems of Linear Equations: Three Variables<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-systems-of-linear-equations-three-variables\/\">Solutions 30: Systems of Linear Equations: Three Variables<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-31-systems-of-nonlinear-equations-and-inequalities-two-variables\/\">Problem Set 31: Systems of Nonlinear Equations and Inequalities: Two Variables<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-systems-of-nonlinear-equations-and-inequalities-two-variables\/\">Solutions 31: Systems of Nonlinear Equations and Inequalities: Two Variables<\/a><\/li>\n<\/ul>\n<ul>\n<li><a style=\"font-size: 1em;\" href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-32-partial-fractions\/\">Problem Set 32: Partial Fractions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-partial-fractions\/\">Solutions 32: Partial Fractions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-33-matrices-and-matrix-operations\/\">Problem Set 33: Matrices and Matrix Operations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-matrices-and-matrix-operations\/\">Solutions 33: Matrices and Matrix Operations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-34-solving-systems-with-gaussian-elimination\/\">Problem Set 34: Solving Systems with Gaussian Elimination<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-systems-with-gaussian-elimination\/\">Solutions 34: Solving Systems with Gaussian Elimination<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-35-solving-systems-with-inverses\/\">Problem Set 35: Solving Systems with Inverses<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-systems-with-inverses\/\">Solutions 35: Solving Systems with Inverses<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-36-solving-systems-with-cramers-rule\/\">Problem Set 36: Solving Systems with Cramer&#8217;s Rule<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-systems-with-cramers-rule\/\">Solutions 36: Solving Systems with Cramer&#8217;s Rule<\/a><\/li>\n<\/ul>\n<h2>Module 6: Sequences, Probability, and Counting Theory<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-37-sequences-and-their-notations\/\">Problem Set 37: Sequences and Their Notations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14777\">Solutions 37: Sequences and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n<li><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-38-arithmetic-sequences\/\">Problem Set 38: Arithmetic Sequences<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14794\">Solutions 38: Arithmetic Sequences<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-39-geometric-sequences\/\">Problem Set 39: Geometric Sequences<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14804\">Solutions 39: Geometric Sequences<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-40-series-and-their-notations\/\">Problem Set 40: Series and Their Notations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/?post_type=chapter&amp;p=14809\">Solutions 40: Series and Their Notations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-41-counting-principles\/\">Problem Set 41: Counting Principles<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-counting-principles\/\">Solutions 41: Counting Principles<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-42-binomial-theorem\/\">Problem Set 42: Binomial Theorem<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-binomial-theorem\/\">Solutions 42: Binomial Theorem<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-43-probability\/\">Problem Set 43: Probability<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-probability\/\">Solutions 43: Probability<\/a><\/li>\n<\/ul>\n<h2>Module 7: Trigonometric Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-44-angles\/\">Problem Set 44: Angles<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-angles\/\">Solutions 44: Angles<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-45-unit-circle-sine-and-cosine-functions\/\">Problem Set 45: Unit Circle: Sine and Cosine Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-unit-circle-sine-and-cosine-angles\/\">Solutions 45: Unit Circle: Sine and Cosine Angles<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-46-the-other-trigonometric-functions\/\">Problem Set 46: The Other Trigonometric Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-other-trigonometric-functions\/\">Solutions 46: Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-47-right-triangle-trigonometry\/\">Problem Set 47: Right Triangle Trigonometry<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-right-triangle-trigonometry\/\">Solutions 47: Right Triangle Trigonometry<\/a><\/li>\n<\/ul>\n<h2>Module 8: Periodic Functions<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-48-graphs-of-the-sine-and-cosine-function\/\">Problem Set 48: Graphs of the Sine and Cosine Function<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-to-graphs-of-the-sine-and-cosine-function\/\">Solutions 48: Graphs of the Sine and Cosine Function<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-49-graphs-of-the-other-trigonometric-functions\/\">Problem Set 49: Graphs of the Other Trigonometric Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-other-trigonometric-functions-2\/\">Solutions 49: Graphs of Other Trigonometric Functions<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-50-inverse-trigonometric-functions\/\">Problem Set 50: Inverse Trigonometric Functions<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-inverse-trigonometric-functions\/\">Solutions 50: Inverse Trigonometric Functions<\/a><\/li>\n<\/ul>\n<h2>Module 9: Trigonometric Identities and Equations<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-51-solving-trigonometric-equations-with-identities\/\">Problem Set 51: Solving Trigonometric Equations With Identities<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-trigonometric-equations-with-identities\/\">Solutions 51: Solving Trigonometric Equations with Identities<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-52-sum-and-difference-identities\/\">Problem Set 52: Sum and Difference Identities<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-sum-and-difference-identities\/\">Solutions 52: Sum and Difference Identities<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-53-double-angle-half-angle-and-reduction-formulas\/\">Problem Set 53: Double Angle, Half Angle, and Reduction Formulas<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-double-angle-half-angle-and-reduction-formulas\/\">Solutions 53: Double-Angle, Half-Angle, and Reduction Formulas<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-54-sum-to-product-and-product-to-sum-formulas\/\">Problem Set 54: Sum-to-Product and Product-to-Sum Formulas<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-sum-to-product-and-product-to-sum-formulas\/\">Solutions 54: Sum-to-Product and Product-to-Sum Formulas<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-55-solving-trigonometric-equations\/\">Problem Set 55: Solving Trigonometric Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-solving-trigonometric-equations\/\">Solutions 55: Solving Trigonometric Equations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-56-modeling-with-trigonometric-equations\/\">Problem Set 56: Modeling with Trigonometric Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-modeling-with-trigonometric-equations\/\">Solutions 56: Modeling with Trigonometric Equations<\/a><\/li>\n<\/ul>\n<h2>Module 10: Further Applications of Trigonometry<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-57-non-right-triangles-law-of-sines\/\">Problem Set 57: Non-right Triangles: Law of Sines<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-non-right-triangles-law-of-sines\/\">Solutions 57: Non-Right Triangles: Law of Sines<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-58-non-right-triangles-law-of-cosines\/\">Problem Set 58: Non-right Triangles: Law of Cosines<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-non-right-triangles-law-of-cosines\/\">Solutions 58: Non-Right Triangles: Law of Cosines<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-59-polar-coordinates\/\">Problem Set 59: Polar Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-polar-coordinates\/\">Solutions 59: Polar Coordinates<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-60-polar-coordinates-graphs\/\">Problem Set 60: Polar Coordinates: Graphs<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-polar-coordinates-graphs\/\">Solutions 60: Polar Coordinates: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-61-polar-form-of-complex-numbers\/\">Problem Set 61: Polar Form of Complex Numbers<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-polar-form-of-complex-numbers\/\">Solutions 61: Polar Form of Complex Numbers<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-62-parametric-equations\/\">Problem Set 62: Parametric Equations<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-parametric-equations\/\">Solutions 62: Parametric Equations<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-63-parametric-equations-graphs\/\">Problem Set 63: Parametric Equations: Graphs<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-parametric-equations-graphs\/\">Solutions 63: Parametric Equations: Graphs<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-64-vectors\/\">Problem Set 64: Vectors<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-vectors\/\">Solutions 64: Vectors<\/a><\/li>\n<\/ul>\n<h2>Module 11: Analytic Geometry<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-65-the-ellipse\/\">Problem Set 65: The Ellipse<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-ellipse\/\">Solutions 65: The Ellipse<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-66-the-hyperbola\/\">Problem Set 66: The Hyperbola<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-hyperbola\/\">Solutions 66: The Hyperbola<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-67-the-parabola\/\">Problem Set 67: The Parabola<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-the-parabola\/\">Solutions 67: The Parabola<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-68-rotation-of-axes\/\">Problem Set 68: Rotation of Axes<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-rotation-of-axes\/\">Solutions 68: Rotation of Axes<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-69-conic-sections-in-polar-coordinates\/\">Problem Set 69: Conic Sections in Polar Coordinates<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-conic-sections-in-polar-coordinates\/\">Solutions 69: Conic Sections in Polar Coordinates<\/a><\/li>\n<\/ul>\n<h2>Module 12: Introduction to Calculus<\/h2>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-70-finding-limits-numerical-and-graphical-approaches\/\">Problem Set 70: Finding Limits: Numerical and Graphical Approaches<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-finding-limits-numerical-and-graphical-approaches\/\">Solutions 70: Finding Limits: Numerical and Graphical Approaches<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-71-finding-limits-properties-of-limits\/\">Problem Set 71: Finding Limits: Properties of Limits<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solution-to-finding-limits-properties-of-limits\/\">Solutions 71: Finding Limits: Properties of Limits<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-72-continuity\/\">Problem Set 72: Continuity<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-continuity\/\">Solutions 72: Continuity<\/a><\/li>\n<\/ul>\n<ul>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/problem-set-73-derivatives\/\">Problem Set 73: Derivatives<\/a><\/li>\n<li class=\"chapter standard\"><a href=\"https:\/\/courses.lumenlearning.com\/precalculus\/chapter\/solutions-for-derivatives\/\">Solutions 73: Derivatives<\/a><\/li>\n<\/ul>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1222\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Problem Sets with Solutions. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Puzzle Pieces. <strong>Authored by<\/strong>: LAFS. <strong>Provided by<\/strong>: Noun Project. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/\">https:\/\/thenounproject.com\/term\/puzzle-pieces\/963732\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Precalculus. <strong>Authored by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@11.14\">http:\/\/cnx.org\/contents\/fd53eae1-fa23-47c7-bb1b-972349835c3c@11.14<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":503070,"menu_order":5,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Puzzle Pieces\",\"author\":\"LAFS\",\"organization\":\"Noun 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