- Chapter 1: Fundamentals
- Chapter 10: Systems of Equations and Inequalities
- Chapter 11: Conic Sections
- Chapter 12: Sequences and Series
- Chapter 13: Limits: A Preview of Calculus
- Chapter 2: Functions
- Chapter 3: Polynomial and Rational 3 Functions
- Chapter 4: Exponential and Logarithmic Functions
- Chapter 5: Trigonometric Functions: Unit Circle Approach
- Chapter 6: Trigonometric Functions: Right Triangle Approach
- Chapter 7: Analytic Trigonometry
- Chapter 8: Polar Coordinates 8 and Parametric Equations
- Chapter 9: PVectors in Two and Three Dimensions
Precalculus: Mathematics for Calculus (Standalone Book) 7th Edition - Solutions by Chapter
Full solutions for Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition
Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition - Solutions by ChapterGet Full Solutions
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.
Additive inverse of a complex number
The opposite of a + bi, or -a - bi
See Exponential function, Logarithmic function, nth power of a.
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.
Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers
A letter or symbol that stands for a specific number,
The factor Ae-a in an equation such as y = Ae-at cos bt
Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)
A nonnegative number that specifies how off-center the focus of a conic is
Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative
Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2
Length of 1 minute of arc along the Earth’s equator.
Two vectors u and v with u x v = 0.
Power rule of logarithms
logb Rc = c logb R, R 7 0.
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically