Quadratic Formula 2b 6 sb 2 2 4ac If ax 2 1 bx 1 c − 0, then x −. Inequalities and Absolute Value If a, b, then a 1 c, b 1 c.
Slope of line through P1sx1, y1d and P2sx 2, y2d: Point-slope equation of line through P1sx1, y1d with slope m: Y 2 y1 − msx 2 x1d Slope-intercept equation of line with slope m and y-intercept b: Geometric Formulas a c ad 1 bc 1 − b d bd a a d ad b − 3 − c b c bc dįormulas for area A, circumference C, and volume V: Triangleĭistance and Midpoint Formulas sx 2 yd2 − x 2 2 2xy 1 y 2ĭistance between P1sx1, y1d and P2sx 2, y2d: REFERENCE page 1 Cut here and keep for reference
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A Relationship between the Area and Tangent Problemsġ.2 Mathematical Models: A Catalog of Essential FunctionsĢ.3 Calculating Limits Using the Limit LawsĢ.6 Limits at Infinity Horizontal Asymptotesģ.1 Derivatives of Polynomials and Exponential Functionsģ.3 Derivatives of Trigonometric Functionsģ.6 Derivatives of Logarithmic and Inverse Trigonometric Functionsģ.7 Rates of Change in the Natural and Social Sciencesģ.10 Linear Approximations and DifferentialsĬhapter 4: Applications of DifferentiationĤ.3 What Derivatives Tell Us about the Shape of a GraphĤ.4 Indeterminate Forms and l'Hospital's RuleĤ.6 Graphing with Calculus and Technologyĥ.4 Indefinite Integrals and the Net Change Theoremħ.4 Integration of Rational Functions by Partial Fractionsħ.6 Integration Using Tables and TechnologyĬhapter 8: Further Applications of IntegrationĨ.3 Applications to Physics and EngineeringĨ.4 Applications to Economics and BiologyĬhapter 10: Parametric Equations and Polar Coordinatesġ0.1 Curves Defined by Parametric EquationsĬhapter 11: Sequences, Series, and Power Seriesġ1.3 The Integral Test and Estimates of Sumsġ1.5 Alternating Series and Absolute Convergenceġ1.9 Representations of Functions as Power SeriesĬhapter 12: Vectors and the Geometry of Spaceġ2.1 Three-Dimensional Coordinate Systemsġ3.2 Derivatives and Integrals of Vector Functionsġ3.4 Motion in Space: Velocity and Accelerationġ4.4 Tangent Planes and Linear Approximationsġ4.6 Directional Derivatives and the Gradient Vectorġ5.2 Double Integrals over General Regionsġ5.3 Double Integrals in Polar Coordinatesġ5.7 Triple Integrals in Cylindrical Coordinatesġ5.8 Triple Integrals in Spherical Coordinatesġ5.9 Change of Variables in Multiple Integralsġ6.3 The Fundamental Theorem for Line IntegralsĪppendix A: Numbers, Inequalities, and Absolute ValuesĪppendix B: Coordinate Geometry and LinesĪppendix C: Graphs of Second-Degree EquationsĪppendix G: The Logarithm Defined as an IntegralĪppendix H: Answers to Odd-Numbered Exercises
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