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Solutions for Chapter 1: Fundamentals

Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition | ISBN: 9781305071759 | Authors: James Stewart, Lothar Redlin, Saleem Watson

Full solutions for Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition

ISBN: 9781305071759

Precalculus: Mathematics for Calculus (Standalone Book) | 7th Edition | ISBN: 9781305071759 | Authors: James Stewart, Lothar Redlin, Saleem Watson

Solutions for Chapter 1: Fundamentals

Solutions for Chapter 1
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Textbook: Precalculus: Mathematics for Calculus (Standalone Book)
Edition: 7
Author: James Stewart, Lothar Redlin, Saleem Watson
ISBN: 9781305071759

Chapter 1: Fundamentals includes 154 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 154 problems in chapter 1: Fundamentals have been answered, more than 5137 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Mathematics for Calculus (Standalone Book), edition: 7. Precalculus: Mathematics for Calculus (Standalone Book) was written by and is associated to the ISBN: 9781305071759.

Key Calculus Terms and definitions covered in this textbook
  • Complex plane

    A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

  • Cube root

    nth root, where n = 3 (see Principal nth root),

  • First quartile

    See Quartile.

  • Increasing on an interval

    A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

  • Interquartile range

    The difference between the third quartile and the first quartile.

  • Interval

    Connected subset of the real number line with at least two points, p. 4.

  • Law of sines

    sin A a = sin B b = sin C c

  • Limit to growth

    See Logistic growth function.

  • Mathematical induction

    A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

  • Obtuse triangle

    A triangle in which one angle is greater than 90°.

  • One-to-one function

    A function in which each element of the range corresponds to exactly one element in the domain

  • Polynomial interpolation

    The process of fitting a polynomial of degree n to (n + 1) points.

  • Power function

    A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

  • Power regression

    A procedure for fitting a curve y = a . x b to a set of data.

  • Power-reducing identity

    A trigonometric identity that reduces the power to which the trigonometric functions are raised.

  • Real number

    Any number that can be written as a decimal.

  • Simple harmonic motion

    Motion described by d = a sin wt or d = a cos wt

  • Standard position (angle)

    An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

  • Transpose of a matrix

    The matrix AT obtained by interchanging the rows and columns of A.

  • Zero factorial

    See n factorial.

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