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Solutions for Chapter 1: Functions

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Thomas' Calculus | 12th Edition | ISBN: 9780321587992 | Authors: George B. Thomas Jr.

Solutions for Chapter 1: Functions

Solutions for Chapter 1
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Textbook: Thomas' Calculus
Edition: 12
Author: George B. Thomas Jr.
ISBN: 9780321587992

Since 68 problems in chapter 1: Functions have been answered, more than 9923 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Thomas' Calculus was written by and is associated to the ISBN: 9780321587992. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1: Functions includes 68 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Addition property of equality

    If u = v and w = z , then u + w = v + z

  • Boxplot (or box-and-whisker plot)

    A graph that displays a five-number summary

  • Complex conjugates

    Complex numbers a + bi and a - bi

  • Convenience sample

    A sample that sacrifices randomness for convenience

  • DMS measure

    The measure of an angle in degrees, minutes, and seconds

  • equation of a parabola

    (x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

  • Factor

    In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

  • Local maximum

    A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

  • Logarithm

    An expression of the form logb x (see Logarithmic function)

  • Multiplicative inverse of a real number

    The reciprocal of b, or 1/b, b Z 0

  • n factorial

    For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

  • Observational study

    A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

  • Reference triangle

    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

  • Reflection through the origin

    x, y and (-x,-y) are reflections of each other through the origin.

  • Regression model

    An equation found by regression and which can be used to predict unknown values.

  • Relevant domain

    The portion of the domain applicable to the situation being modeled.

  • Slope-intercept form (of a line)

    y = mx + b

  • Union of two sets A and B

    The set of all elements that belong to A or B or both.

  • 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.

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.

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