- Chapter 1: Functions and Graphs
- Chapter 1.1: Graphs and Graphing Utilities
- Chapter 1.10: Modeling with Functions
- Chapter 1.2: Basics of Functions and Their Graphs
- Chapter 1.3: More on Functions and Their Graphs
- Chapter 1.4: Linear Functions and Slope
- Chapter 1.5: More on Slope
- Chapter 1.6: Transformations of Functions
- Chapter 1.7: Combinations of Functions; Composite Functions
- Chapter 1.8: Inverse Functions
- Chapter 1.9: Distance and Midpoint Formulas; Circles
- Chapter 10: Sequences, Induction, and Probability
- Chapter 10.1: Sequences and Summation Notation
- Chapter 10.2: Arithmetic Sequences
- Chapter 10.3: Geometric Sequences and Series
- Chapter 10.4: Mathematical Induction
- Chapter 10.5: The Binomial Theorem
- Chapter 10.6: Counting Principles, Permutations, and Combinations
- Chapter 10.7: Probability
- Chapter 11: Introduction to Calculus
- Chapter 11.1: Finding Limits Using Tables and Graphs
- Chapter 11.2: Finding Limits Using Properties of Limits
- Chapter 11.3: Limits and Continuity
- Chapter 11.4: Introduction to Derivatives
- Chapter 2: Polynomial and Rational Functions
- Chapter 2.1: Complex Numbers
- Chapter 2.2: Quadratic Functions
- Chapter 2.3: Polynomial Functions and Their Graphs
- Chapter 2.4: Dividing Polynomials; Remainder and Factor Theorems
- Chapter 2.5: Zeros of Polynomial Functions
- Chapter 2.6: Rational Functions and Their Graphs
- Chapter 2.7: Polynomial and Rational Inequalities
- Chapter 2.8: Modeling Using Variation
- Chapter 3: Equations and Inequalities
- Chapter 3.1: Exponential Functions
- Chapter 3.2: Logarithmic Functions
- Chapter 3.3: Properties of Logarithms
- Chapter 3.4: Exponential and Logarithmic Equations
- Chapter 3.5: Exponential Growth and Decay; Modeling Data
- Chapter 4: Trigonometric Functions
- Chapter 4.1: Angles and Radian Measure
- Chapter 4.2: Trigonometric Functions: The Unit Circle
- Chapter 4.3: Right Triangle Trigonometry
- Chapter 4.4: Trigonometric Functions of Any Angle
- Chapter 4.5: Graphs of Sine and Cosine Functions
- Chapter 4.6: Graphs of Other Trigonometric Functions
- Chapter 4.7: Inverse Trigonometric Functions
- Chapter 4.8: Applications of Trigonometric Functions
- Chapter 5: Analytic Trigonometry
- Chapter 5.1: Verifying Trigonometric Identities
- Chapter 5.2: Sum and Difference Formulas
- Chapter 5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas
- Chapter 5.4: Product-to-Sum and Sum-to-Product Formulas
- Chapter 5.5: Trigonometric Equations
- Chapter 6: Additional Topics in Trigonometry
- Chapter 6.1: The Law of Sines
- Chapter 6.2: The Law of Cosines
- Chapter 6.3: Polar Coordinates
- Chapter 6.4: Graphs of Polar Equations
- Chapter 6.5: Complex Numbers in Polar Form; DeMoivre s Theorem
- Chapter 6.6: Vectors
- Chapter 6.7: The Dot Product
- Chapter 7: Systems of Equations and Inequalities
- Chapter 7.1: Systems of Linear Equations in Two Variables
- Chapter 7.2: Systems of Linear Equations in Three Variables
- Chapter 7.3: Partial Fractions
- Chapter 7.4: Systems of Nonlinear Equations in Two Variables
- Chapter 7.5: Systems of Inequalities
- Chapter 7.6: Linear Programming
- Chapter 8: Matrices and Determinants
- Chapter 8.1: Matrix Solutions to Linear Systems
- Chapter 8.2: Inconsistent and Dependent Systems and Their Applications
- Chapter 8.3: Matrix Operations and Their Applications
- Chapter 8.4: Multiplicative Inverses of Matrices and Matrix Equations
- Chapter 8.5: Determinants and Cramer s Rule
- Chapter 9: Conic Sections and Analytic Geometry
- Chapter 9.1: The Ellipse
- Chapter 9.2: The Hyperbola
- Chapter 9.3: The Parabola
- Chapter 9.4: Rotation of Axes
- Chapter 9.5: Parametric Equations
- Chapter 9.6: Conic Sections in Polar Coordinates
- Chapter P: Prerequisites: Fundamental Concepts of Algebra
- Chapter P.1: Algebraic Expressions, Mathematical Models, and Real Numbers
- Chapter P.2: Exponents and Scientific Notation
- Chapter P.3: Radicals and Rational Exponents
- Chapter P.4: Polynomials
- Chapter P.5: Factoring Polynomials
- Chapter P.6: Rational Expressions
- Chapter P.7: Equations
- Chapter P.8: Modeling with Equations
- Chapter P.9: Linear Inequalities and Absolute Value Inequalities
Precalculus 4th Edition - Solutions by Chapter
Full solutions for Precalculus | 4th Edition
ISBN: 9780321559845
Since problems from 92 chapters in Precalculus have been answered, more than 342948 students have viewed full step-by-step answer. The full step-by-step solution to problem in Precalculus were answered by , our top Calculus solution expert on 01/04/18, 08:34PM. This expansive textbook survival guide covers the following chapters: 92. Precalculus was written by and is associated to the ISBN: 9780321559845. This textbook survival guide was created for the textbook: Precalculus, edition: 4.
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Complex conjugates
Complex numbers a + bi and a - bi
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Conditional probability
The probability of an event A given that an event B has already occurred
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Determinant
A number that is associated with a square matrix
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Directed distance
See Polar coordinates.
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Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.
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Exponential decay function
Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.
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Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .
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Independent variable
Variable representing the domain value of a function (usually x).
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Logarithm
An expression of the form logb x (see Logarithmic function)
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Minute
Angle measure equal to 1/60 of a degree.
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nth power of a
The number with n factors of a , where n is the exponent and a is the base.
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Polynomial in x
An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)
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Re-expression of data
A transformation of a data set.
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Slope-intercept form (of a line)
y = mx + b
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Solve by substitution
Method for solving systems of linear equations.
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Standard form of a polynomial function
ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0
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Terms of a sequence
The range elements of a sequence.
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Unit vector
Vector of length 1.
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Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.
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y-intercept
A point that lies on both the graph and the y-axis.