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Solutions for Chapter 1: Limits and Their Properties

Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 1: Limits and Their Properties

Solutions for Chapter 1
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Textbook: Calculus of A Single Variable
Edition: 7
Author: Ron Larson, Robert P. Hostetler, Bruce H. Edwards, David E. Heyd
ISBN: 9780618149162

Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 1: Limits and Their Properties includes 70 full step-by-step solutions. Since 70 problems in chapter 1: Limits and Their Properties have been answered, more than 26583 students have viewed full step-by-step solutions from this chapter.

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

    Complex numbers a + bi and a - bi

  • Constant of variation

    See Power function.

  • Damping factor

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

  • Derivative of ƒ

    The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

  • Exponential form

    An equation written with exponents instead of logarithms.

  • Fibonacci numbers

    The terms of the Fibonacci sequence.

  • Histogram

    A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

  • Hypotenuse

    Side opposite the right angle in a right triangle.

  • Leading coefficient

    See Polynomial function in x

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Numerical model

    A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

  • Objective function

    See Linear programming problem.

  • Polar axis

    See Polar coordinate system.

  • Polar distance formula

    The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

  • Quotient identities

    tan ?= sin ?cos ?and cot ?= cos ? sin ?

  • Range of a function

    The set of all output values corresponding to elements in the domain.

  • Statute mile

    5280 feet.

  • Triangular form

    A special form for a system of linear equations that facilitates finding the solution.

  • Upper bound for ƒ

    Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

  • Zero vector

    The vector <0,0> or <0,0,0>.

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