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Solutions for Chapter 1: Functions

Thomas' Calculus Early Transcendentals | 12th Edition | ISBN: 9780321588760 | Authors: George B. Thomas

Full solutions for Thomas' Calculus Early Transcendentals | 12th Edition

ISBN: 9780321588760

Thomas' Calculus Early Transcendentals | 12th Edition | ISBN: 9780321588760 | Authors: George B. Thomas

Solutions for Chapter 1: Functions

Solutions for Chapter 1
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Textbook: Thomas' Calculus Early Transcendentals
Edition: 12
Author: George B. Thomas
ISBN: 9780321588760

This textbook survival guide was created for the textbook: Thomas' Calculus Early Transcendentals, edition: 12. This expansive textbook survival guide covers the following chapters and their solutions. Since 84 problems in chapter 1: Functions have been answered, more than 32975 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus Early Transcendentals was written by and is associated to the ISBN: 9780321588760. Chapter 1: Functions includes 84 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

  • Angular speed

    Speed of rotation, typically measured in radians or revolutions per unit time

  • Binomial coefficients

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Endpoint of an interval

    A real number that represents one “end” of an interval.

  • Factoring (a polynomial)

    Writing a polynomial as a product of two or more polynomial factors.

  • Fibonacci numbers

    The terms of the Fibonacci sequence.

  • Focal axis

    The line through the focus and perpendicular to the directrix of a conic.

  • Midpoint (in Cartesian space)

    For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • Outliers

    Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

  • Paraboloid of revolution

    A surface generated by rotating a parabola about its line of symmetry.

  • Power-reducing identity

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

  • Product of a scalar and a vector

    The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

  • Real part of a complex number

    See Complex number.

  • Replication

    The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Shrink of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

  • Solution set of an inequality

    The set of all solutions of an inequality

  • Speed

    The magnitude of the velocity vector, given by distance/time.

  • Summation notation

    The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series