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Solutions for Chapter 10-1: COMPOSITION OF FUNCTIONS

Functions Modeling Change: A Preparation for Calculus | 4th Edition | ISBN: 9780470484753 | Authors: Eric Connally Deborah Hughes-Hallett, Andrew M. Gleason

Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753

Functions Modeling Change: A Preparation for Calculus | 4th Edition | ISBN: 9780470484753 | Authors: Eric Connally Deborah Hughes-Hallett, Andrew M. Gleason

Solutions for Chapter 10-1: COMPOSITION OF FUNCTIONS

Solutions for Chapter 10-1
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Textbook: Functions Modeling Change: A Preparation for Calculus
Edition: 4
Author: Eric Connally Deborah Hughes-Hallett, Andrew M. Gleason
ISBN: 9780470484753

Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10-1: COMPOSITION OF FUNCTIONS includes 65 full step-by-step solutions. Since 65 problems in chapter 10-1: COMPOSITION OF FUNCTIONS have been answered, more than 26120 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Bounded above

    A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

  • Circle

    A set of points in a plane equally distant from a fixed point called the center

  • Complex number

    An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

  • Conjugate axis of a hyperbola

    The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

  • Damping factor

    The factor Ae-a in an equation such as y = Ae-at cos bt

  • Difference of two vectors

    <u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

  • Division

    a b = aa 1 b b, b Z 0

  • Imaginary axis

    See Complex plane.

  • Inverse cosecant function

    The function y = csc-1 x

  • Lower bound of f

    Any number b for which b < ƒ(x) for all x in the domain of ƒ

  • 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)

  • Matrix element

    Any of the real numbers in a matrix

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Quadratic function

    A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

  • Relevant domain

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

  • Root of an equation

    A solution.

  • Secant

    The function y = sec x.

  • Solution of an equation or inequality

    A value of the variable (or values of the variables) for which the equation or inequality is true

  • Spiral of Archimedes

    The graph of the polar curve.

  • Zero matrix

    A matrix consisting entirely of zeros.

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