{"product_id":"precalculus-for-dummies-9781119508779","title":"PreCalculus For Dummies","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eIntroduction\u003c\/b\u003e\u003cb\u003e 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAbout This Book 1\u003c\/p\u003e \u003cp\u003eFoolish Assumptions 2\u003c\/p\u003e \u003cp\u003eIcons Used in This Book 3\u003c\/p\u003e \u003cp\u003eBeyond the Book 3\u003c\/p\u003e \u003cp\u003eWhere to Go from Here 3\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 1: Getting Started with Pre-Calculus\u003c\/b\u003e\u003cb\u003e 5\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1: Pre-Pre-Calculus\u003c\/b\u003e\u003cb\u003e 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePre-Calculus: An Overview 8\u003c\/p\u003e \u003cp\u003eAll the Number Basics (No, Not How to Count Them!) 9\u003c\/p\u003e \u003cp\u003eThe multitude of number types: Terms to know 9\u003c\/p\u003e \u003cp\u003eThe fundamental operations you can perform on numbers 11\u003c\/p\u003e \u003cp\u003eThe properties of numbers: Truths to remember 11\u003c\/p\u003e \u003cp\u003eVisual Statements: When Math Follows Form with Function 12\u003c\/p\u003e \u003cp\u003eBasic terms and concepts 13\u003c\/p\u003e \u003cp\u003eGraphing linear equalities and inequalities 14\u003c\/p\u003e \u003cp\u003eGathering information from graphs 15\u003c\/p\u003e \u003cp\u003eGet Yourself a Graphing Calculator 16\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2: Playing with Real Numbers\u003c\/b\u003e\u003cb\u003e 19\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving Inequalities 19\u003c\/p\u003e \u003cp\u003eRecapping inequality how-tos 20\u003c\/p\u003e \u003cp\u003eSolving equations and inequalities when absolute value is involved 20\u003c\/p\u003e \u003cp\u003eExpressing solutions for inequalities with interval notation 22\u003c\/p\u003e \u003cp\u003eVariations on Dividing and Multiplying: Working with Radicals and Exponents 24\u003c\/p\u003e \u003cp\u003eDefining and relating radicals and exponents 24\u003c\/p\u003e \u003cp\u003eRewriting radicals as exponents (or, creating rational exponents) 25\u003c\/p\u003e \u003cp\u003eGetting a radical out of a denominator: Rationalizing 26\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3: The Building Blocks of Pre-Calculus Functions\u003c\/b\u003e\u003cb\u003e 31\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eQualities of Special Function Types and Their Graphs 32\u003c\/p\u003e \u003cp\u003eEven and odd functions 32\u003c\/p\u003e \u003cp\u003eOne-to-one functions 32\u003c\/p\u003e \u003cp\u003eDealing with Parent Functions and Their Graphs 33\u003c\/p\u003e \u003cp\u003eLinear functions 33\u003c\/p\u003e \u003cp\u003eQuadratic functions 33\u003c\/p\u003e \u003cp\u003eSquare-root functions 34\u003c\/p\u003e \u003cp\u003eAbsolute-value functions 34\u003c\/p\u003e \u003cp\u003eCubic functions 35\u003c\/p\u003e \u003cp\u003eCube-root functions 36\u003c\/p\u003e \u003cp\u003eGraphing Functions That Have More Than One Rule: Piece-Wise Functions 37\u003c\/p\u003e \u003cp\u003eSetting the Stage for Rational Functions 38\u003c\/p\u003e \u003cp\u003eStep 1: Search for vertical asymptotes 39\u003c\/p\u003e \u003cp\u003eStep 2: Look for horizontal asymptotes 40\u003c\/p\u003e \u003cp\u003eStep 3: Seek out oblique asymptotes 41\u003c\/p\u003e \u003cp\u003eStep 4: Locate the x- and y-intercepts 42\u003c\/p\u003e \u003cp\u003ePutting the Results to Work: Graphing Rational Functions 42\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4: Operating on Functions\u003c\/b\u003e\u003cb\u003e 49\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTransforming the Parent Graphs 50\u003c\/p\u003e \u003cp\u003eStretching and flattening 50\u003c\/p\u003e \u003cp\u003eTranslations 52\u003c\/p\u003e \u003cp\u003eReflections 54\u003c\/p\u003e \u003cp\u003eCombining various transformations (a transformation in itself!) 55\u003c\/p\u003e \u003cp\u003eTransforming functions point by point 57\u003c\/p\u003e \u003cp\u003eSharpen Your Scalpel: Operating on Functions 58\u003c\/p\u003e \u003cp\u003eAdding and subtracting 59\u003c\/p\u003e \u003cp\u003eMultiplying and dividing 60\u003c\/p\u003e \u003cp\u003eBreaking down a composition of functions 60\u003c\/p\u003e \u003cp\u003eAdjusting the domain and range of combined functions (if applicable) 61\u003c\/p\u003e \u003cp\u003eTurning Inside Out with Inverse Functions 63\u003c\/p\u003e \u003cp\u003eGraphing an inverse 64\u003c\/p\u003e \u003cp\u003eInverting a function to find its inverse 66\u003c\/p\u003e \u003cp\u003eVerifying an inverse 66\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5: Digging Out and Using Roots to Graph Polynomial Functions\u003c\/b\u003e\u003cb\u003e 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUnderstanding Degrees and Roots 70\u003c\/p\u003e \u003cp\u003eFactoring a Polynomial Expression 71\u003c\/p\u003e \u003cp\u003eAlways the first step: Looking for a GCF 72\u003c\/p\u003e \u003cp\u003eUnwrapping the box containing a trinomial 73\u003c\/p\u003e \u003cp\u003eRecognizing and factoring special polynomials 74\u003c\/p\u003e \u003cp\u003eGrouping to factor four or more terms 77\u003c\/p\u003e \u003cp\u003eFinding the Roots of a Factored Equation 78\u003c\/p\u003e \u003cp\u003eCracking a Quadratic Equation When It Won’t Factor 79\u003c\/p\u003e \u003cp\u003eUsing the quadratic formula 79\u003c\/p\u003e \u003cp\u003eCompleting the square 80\u003c\/p\u003e \u003cp\u003eSolving Unfactorable Polynomials with a Degree Higher Than Two 81\u003c\/p\u003e \u003cp\u003eCounting a polynomial’s total roots 82\u003c\/p\u003e \u003cp\u003eTallying the real roots: Descartes’s rule of signs 82\u003c\/p\u003e \u003cp\u003eAccounting for imaginary roots: The fundamental theorem of algebra 83\u003c\/p\u003e \u003cp\u003eGuessing and checking the real roots 84\u003c\/p\u003e \u003cp\u003ePut It in Reverse: Using Solutions to Find Factors 90\u003c\/p\u003e \u003cp\u003eGraphing Polynomials 91\u003c\/p\u003e \u003cp\u003eWhen all the roots are real numbers 91\u003c\/p\u003e \u003cp\u003eWhen roots are imaginary numbers: Combining all techniques 95\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6: Exponential and Logarithmic Functions\u003c\/b\u003e\u003cb\u003e 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eExploring Exponential Functions 98\u003c\/p\u003e \u003cp\u003eSearching the ins and outs of exponential functions 98\u003c\/p\u003e \u003cp\u003eGraphing and transforming exponential functions 100\u003c\/p\u003e \u003cp\u003eLogarithms: The Inverse of Exponential Functions 102\u003c\/p\u003e \u003cp\u003eGetting a better handle on logarithms 102\u003c\/p\u003e \u003cp\u003eManaging the properties and identities of logs 103\u003c\/p\u003e \u003cp\u003eChanging a log’s base 105\u003c\/p\u003e \u003cp\u003eCalculating a number when you know its log: Inverse logs 105\u003c\/p\u003e \u003cp\u003eGraphing logs 106\u003c\/p\u003e \u003cp\u003eBase Jumping to Simplify and Solve Equations 109\u003c\/p\u003e \u003cp\u003eStepping through the process of exponential equation solving 109\u003c\/p\u003e \u003cp\u003eSolving logarithmic equations 112\u003c\/p\u003e \u003cp\u003eGrowing Exponentially: Word Problems in the Kitchen 113\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 2: The Essentials of Trigonometry\u003c\/b\u003e\u003cb\u003e 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7: Circling in on Angles\u003c\/b\u003e\u003cb\u003e 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroducing Radians: Circles Weren’t Always Measured in Degrees 120\u003c\/p\u003e \u003cp\u003eTrig Ratios: Taking Right Triangles a Step Further 121\u003c\/p\u003e \u003cp\u003eMaking a sine 121\u003c\/p\u003e \u003cp\u003eLooking for a cosine 122\u003c\/p\u003e \u003cp\u003eGoing on a tangent 124\u003c\/p\u003e \u003cp\u003eDiscovering the flip side: Reciprocal trig functions 125\u003c\/p\u003e \u003cp\u003eWorking in reverse: Inverse trig functions 126\u003c\/p\u003e \u003cp\u003eUnderstanding How Trig Ratios Work on the Coordinate Plane 127\u003c\/p\u003e \u003cp\u003eBuilding the Unit Circle by Dissecting the Right Way 129\u003c\/p\u003e \u003cp\u003eFamiliarizing yourself with the most common angles 129\u003c\/p\u003e \u003cp\u003eDrawing uncommon angles 131\u003c\/p\u003e \u003cp\u003eDigesting Special Triangle Ratios 132\u003c\/p\u003e \u003cp\u003eThe 45er: 45 -45 -90 triangle 132\u003c\/p\u003e \u003cp\u003eThe old 30-60: 30 -60 -90 triangle 133\u003c\/p\u003e \u003cp\u003eTriangles and the Unit Circle: Working Together for the Common Good 135\u003c\/p\u003e \u003cp\u003ePlacing the major angles correctly, sans protractor 135\u003c\/p\u003e \u003cp\u003eRetrieving trig-function values on the unit circle 138\u003c\/p\u003e \u003cp\u003eFinding the reference angle to solve for angles on the unit circle 142\u003c\/p\u003e \u003cp\u003eMeasuring Arcs: When the Circle Is Put in Motion 146\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8: Simplifying the Graphing and Transformation of Trig Functions\u003c\/b\u003e\u003cb\u003e 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eDrafting the Sine and Cosine Parent Graphs 150\u003c\/p\u003e \u003cp\u003eSketching sine 150\u003c\/p\u003e \u003cp\u003eLooking at cosine 152\u003c\/p\u003e \u003cp\u003eGraphing Tangent and Cotangent 154\u003c\/p\u003e \u003cp\u003eTackling tangent 154\u003c\/p\u003e \u003cp\u003eClarifying cotangent 157\u003c\/p\u003e \u003cp\u003ePutting Secant and Cosecant in Pictures 159\u003c\/p\u003e \u003cp\u003eGraphing secant 159\u003c\/p\u003e \u003cp\u003eChecking out cosecant 161\u003c\/p\u003e \u003cp\u003eTransforming Trig Graphs 162\u003c\/p\u003e \u003cp\u003eMessing with sine and cosine graphs 163\u003c\/p\u003e \u003cp\u003eTweaking tangent and cotangent graphs 173\u003c\/p\u003e \u003cp\u003eTransforming the graphs of secant and cosecant 176\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9: Identifying with Trig Identities: The Basics\u003c\/b\u003e\u003cb\u003e 181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eKeeping the End in Mind: A Quick Primer on Identities 182\u003c\/p\u003e \u003cp\u003eLining Up the Means to the End: Basic Trig Identities 182\u003c\/p\u003e \u003cp\u003eReciprocal and ratio identities 183\u003c\/p\u003e \u003cp\u003ePythagorean identities 185\u003c\/p\u003e \u003cp\u003eEven\/odd identities 188\u003c\/p\u003e \u003cp\u003eCo-function identities 190\u003c\/p\u003e \u003cp\u003ePeriodicity identities 192\u003c\/p\u003e \u003cp\u003eTackling Difficult Trig Proofs: Some Techniques to Know 194\u003c\/p\u003e \u003cp\u003eDealing with demanding denominators 195\u003c\/p\u003e \u003cp\u003eGoing solo on each side 199\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10: Advanced Identities: Your Keys to Success\u003c\/b\u003e\u003cb\u003e 201\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFinding Trig Functions of Sums and Differences 202\u003c\/p\u003e \u003cp\u003eSearching out the sine of \u003ci\u003ea b \u003c\/i\u003e202\u003c\/p\u003e \u003cp\u003eCalculating the cosine of \u003ci\u003ea b \u003c\/i\u003e206\u003c\/p\u003e \u003cp\u003eTaming the tangent of \u003ci\u003ea b \u003c\/i\u003e209\u003c\/p\u003e \u003cp\u003eDoubling an Angle and Finding Its Trig Value 211\u003c\/p\u003e \u003cp\u003eFinding the sine of a doubled angle 212\u003c\/p\u003e \u003cp\u003eCalculating cosines for two 213\u003c\/p\u003e \u003cp\u003eSquaring your cares away 215\u003c\/p\u003e \u003cp\u003eHaving twice the fun with tangents 216\u003c\/p\u003e \u003cp\u003eTaking Trig Functions of Common Angles Divided in Two 217\u003c\/p\u003e \u003cp\u003eA Glimpse of Calculus: Traveling from Products to Sums and Back 219\u003c\/p\u003e \u003cp\u003eExpressing products as sums (or differences) 219\u003c\/p\u003e \u003cp\u003eTransporting from sums (or differences) to products 220\u003c\/p\u003e \u003cp\u003eEliminating Exponents with Power-Reducing Formulas 221\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11: Taking Charge of Oblique Triangles with the Laws of Sines and Cosines\u003c\/b\u003e\u003cb\u003e 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSolving a Triangle with the Law of Sines 224\u003c\/p\u003e \u003cp\u003eWhen you know two angle measures 225\u003c\/p\u003e \u003cp\u003eWhen you know two consecutive side lengths 228\u003c\/p\u003e \u003cp\u003eConquering a Triangle with the Law of Cosines 235\u003c\/p\u003e \u003cp\u003eSSS: Finding angles using only sides 236\u003c\/p\u003e \u003cp\u003eSAS: Tagging the angle in the middle (and the two sides) 238\u003c\/p\u003e \u003cp\u003eFilling in the Triangle by Calculating Area 240\u003c\/p\u003e \u003cp\u003eFinding area with two sides and an included angle (for SAS scenarios) 241\u003c\/p\u003e \u003cp\u003eUsing Heron’s Formula (for SSS scenarios) 241\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 3: Analytic Geometry and System Solving\u003c\/b\u003e\u003cb\u003e 243\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12: Plane Thinking: Complex Numbers and Polar Coordinates\u003c\/b\u003e\u003cb\u003e 245\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eUnderstanding Real versus Imaginary 246\u003c\/p\u003e \u003cp\u003eCombining Real and Imaginary: The Complex Number System 247\u003c\/p\u003e \u003cp\u003eGrasping the usefulness of complex numbers 247\u003c\/p\u003e \u003cp\u003ePerforming operations with complex numbers 248\u003c\/p\u003e \u003cp\u003eGraphing Complex Numbers 250\u003c\/p\u003e \u003cp\u003ePlotting Around a Pole: Polar Coordinates 251\u003c\/p\u003e \u003cp\u003eWrapping your brain around the polar coordinate plane 252\u003c\/p\u003e \u003cp\u003eGraphing polar coordinates with negative values 254\u003c\/p\u003e \u003cp\u003eChanging to and from polar coordinates 256\u003c\/p\u003e \u003cp\u003ePicturing polar equations 259\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13: Creating Conics by Slicing Cones\u003c\/b\u003e\u003cb\u003e 263\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eCone to Cone: Identifying the Four Conic Sections 264\u003c\/p\u003e \u003cp\u003eIn picture (graph form) 264\u003c\/p\u003e \u003cp\u003eIn print (equation form) 266\u003c\/p\u003e \u003cp\u003eGoing Round and Round: Graphing Circles 267\u003c\/p\u003e \u003cp\u003eGraphing circles at the origin 267\u003c\/p\u003e \u003cp\u003eGraphing circles away from the origin 268\u003c\/p\u003e \u003cp\u003eWriting in center–radius form 269\u003c\/p\u003e \u003cp\u003eRiding the Ups and Downs with Parabolas 270\u003c\/p\u003e \u003cp\u003eLabeling the parts 270\u003c\/p\u003e \u003cp\u003eUnderstanding the characteristics of a standard parabola 271\u003c\/p\u003e \u003cp\u003ePlotting the variations: Parabolas all over the plane 272\u003c\/p\u003e \u003cp\u003eThe vertex, axis of symmetry, focus, and directrix 273\u003c\/p\u003e \u003cp\u003eIdentifying the min and max of vertical parabolas 276\u003c\/p\u003e \u003cp\u003eThe Fat and the Skinny on the Ellipse 278\u003c\/p\u003e \u003cp\u003eLabeling ellipses and expressing them with algebra 279\u003c\/p\u003e \u003cp\u003eIdentifying the parts from the equation 281\u003c\/p\u003e \u003cp\u003ePair Two Curves and What Do You Get? Hyperbolas 284\u003c\/p\u003e \u003cp\u003eVisualizing the two types of hyperbolas and their bits and pieces 284\u003c\/p\u003e \u003cp\u003eGraphing a hyperbola from an equation 287\u003c\/p\u003e \u003cp\u003eFinding the equations of asymptotes 287\u003c\/p\u003e \u003cp\u003eExpressing Conics Outside the Realm of Cartesian Coordinates 289\u003c\/p\u003e \u003cp\u003eGraphing conic sections in parametric form 290\u003c\/p\u003e \u003cp\u003eThe equations of conic sections on the polar coordinate plane 292\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14: Streamlining Systems, Managing Variables \u003c\/b\u003e\u003cb\u003e295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Primer on Your System-Solving Options 296\u003c\/p\u003e \u003cp\u003eAlgebraic Solutions of Two-Equation Systems 297\u003c\/p\u003e \u003cp\u003eSolving linear systems 297\u003c\/p\u003e \u003cp\u003eWorking nonlinear systems 300\u003c\/p\u003e \u003cp\u003eSolving Systems with More than Two Equations 304\u003c\/p\u003e \u003cp\u003eDecomposing Partial Fractions 306\u003c\/p\u003e \u003cp\u003eSurveying Systems of Inequalities 307\u003c\/p\u003e \u003cp\u003eIntroducing Matrices: The Basics 309\u003c\/p\u003e \u003cp\u003eApplying basic operations to matrices 310\u003c\/p\u003e \u003cp\u003eMultiplying matrices by each other 311\u003c\/p\u003e \u003cp\u003eSimplifying Matrices to Ease the Solving Process 312\u003c\/p\u003e \u003cp\u003eWriting a system in matrix form 313\u003c\/p\u003e \u003cp\u003eReduced row-echelon form 313\u003c\/p\u003e \u003cp\u003eAugmented form 314\u003c\/p\u003e \u003cp\u003eMaking Matrices Work for You 315\u003c\/p\u003e \u003cp\u003eUsing Gaussian elimination to solve systems 316\u003c\/p\u003e \u003cp\u003eMultiplying a matrix by its inverse 320\u003c\/p\u003e \u003cp\u003eUsing determinants: Cramer’s Rule 323\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15: Sequences, Series, and Expanding Binomials for the Real World\u003c\/b\u003e\u003cb\u003e 327\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSpeaking Sequentially: Grasping the General Method 328\u003c\/p\u003e \u003cp\u003eDetermining a sequence’s terms 328\u003c\/p\u003e \u003cp\u003eWorking in reverse: Forming an expression from terms 329\u003c\/p\u003e \u003cp\u003eRecursive sequences: One type of general sequence 330\u003c\/p\u003e \u003cp\u003eDifference between Terms: Arithmetic Sequences 331\u003c\/p\u003e \u003cp\u003eUsing consecutive terms to find another 332\u003c\/p\u003e \u003cp\u003eUsing any two terms 332\u003c\/p\u003e \u003cp\u003eRatios and Consecutive Paired Terms: Geometric Sequences 334\u003c\/p\u003e \u003cp\u003eIdentifying a particular term when given consecutive terms 334\u003c\/p\u003e \u003cp\u003eGoing out of order: Dealing with nonconsecutive terms 335\u003c\/p\u003e \u003cp\u003eCreating a Series: Summing Terms of a Sequence 337\u003c\/p\u003e \u003cp\u003eReviewing general summation notation 337\u003c\/p\u003e \u003cp\u003eSumming an arithmetic sequence 338\u003c\/p\u003e \u003cp\u003eSeeing how a geometric sequence adds up 339\u003c\/p\u003e \u003cp\u003eExpanding with the Binomial Theorem 342\u003c\/p\u003e \u003cp\u003eBreaking down the binomial theorem 344\u003c\/p\u003e \u003cp\u003eExpanding by using the binomial theorem 345\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16: Onward to Calculus\u003c\/b\u003e\u003cb\u003e 351\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eScoping Out the Differences between Pre-Calculus and Calculus 352\u003c\/p\u003e \u003cp\u003eUnderstanding Your Limits 353\u003c\/p\u003e \u003cp\u003eFinding the Limit of a Function 355\u003c\/p\u003e \u003cp\u003eGraphically 355\u003c\/p\u003e \u003cp\u003eAnalytically 356\u003c\/p\u003e \u003cp\u003eAlgebraically 357\u003c\/p\u003e \u003cp\u003eOperating on Limits: The Limit Laws 361\u003c\/p\u003e \u003cp\u003eCalculating the Average Rate of Change 362\u003c\/p\u003e \u003cp\u003eExploring Continuity in Functions 363\u003c\/p\u003e \u003cp\u003eDetermining whether a function is continuous 364\u003c\/p\u003e \u003cp\u003eDiscontinuity in rational functions 365\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart 4: The Part of Tens\u003c\/b\u003e\u003cb\u003e 367\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 17: Ten Polar Graphs \u003c\/b\u003e\u003cb\u003e369\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eSpiraling Outward 369\u003c\/p\u003e \u003cp\u003eFalling in Love with a Cardioid 370\u003c\/p\u003e \u003cp\u003eCardioids and Lima Beans 370\u003c\/p\u003e \u003cp\u003eLeaning Lemniscates 371\u003c\/p\u003e \u003cp\u003eLacing through Lemniscates 372\u003c\/p\u003e \u003cp\u003eRoses with Even Petals 372\u003c\/p\u003e \u003cp\u003eA rose Is a Rose Is a Rose 373\u003c\/p\u003e \u003cp\u003eLimaçon or Escargot? 373\u003c\/p\u003e \u003cp\u003eLimaçon on the Side 374\u003c\/p\u003e \u003cp\u003eBifolium or Rabbit Ears? 374\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 18: Ten Habits to Adjust before Calculus\u003c\/b\u003e\u003cb\u003e 375\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eFigure Out What the Problem Is Asking 375\u003c\/p\u003e \u003cp\u003eDraw Pictures (the More the Better) 376\u003c\/p\u003e \u003cp\u003ePlan Your Attack — Identify Your Targets 377\u003c\/p\u003e \u003cp\u003eWrite Down Any Formulas 377\u003c\/p\u003e \u003cp\u003eShow Each Step of Your Work 378\u003c\/p\u003e \u003cp\u003eKnow When to Quit 378\u003c\/p\u003e \u003cp\u003eCheck Your Answers 379\u003c\/p\u003e \u003cp\u003ePractice Plenty of Problems 380\u003c\/p\u003e \u003cp\u003eKeep Track of the Order of Operations 380\u003c\/p\u003e \u003cp\u003eUse Caution When Dealing with Fractions 381\u003c\/p\u003e \u003cp\u003eIndex 383\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407068373335,"sku":"9781119508779","price":16.14,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119508779.jpg?v=1730498064","url":"https:\/\/bookcurl.com\/products\/precalculus-for-dummies-9781119508779","provider":"Book Curl","version":"1.0","type":"link"}