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Solutions for Chapter 5.1: Areas and Distances

Calculus, | 5th Edition | ISBN: 9780534393397 | Authors: James Stewart

Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Calculus, | 5th Edition | ISBN: 9780534393397 | Authors: James Stewart

Solutions for Chapter 5.1: Areas and Distances

Solutions for Chapter 5.1
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Textbook: Calculus,
Edition: 5
Author: James Stewart
ISBN: 9780534393397

This textbook survival guide was created for the textbook: Calculus,, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Areas and Distances includes 26 full step-by-step solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. Since 26 problems in chapter 5.1: Areas and Distances have been answered, more than 47399 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Average velocity

    The change in position divided by the change in time.

  • Bounded below

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

  • Coefficient

    The real number multiplied by the variable(s) in a polynomial term

  • Cube root

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

  • Damping factor

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

  • Directrix of a parabola, ellipse, or hyperbola

    A line used to determine the conic

  • Horizontal Line Test

    A test for determining whether the inverse of a relation is a function.

  • Independent variable

    Variable representing the domain value of a function (usually x).

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Limit at infinity

    limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

  • Linear inequality in two variables x and y

    An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

  • Lower bound for real zeros

    A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

  • Origin

    The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

  • Orthogonal vectors

    Two vectors u and v with u x v = 0.

  • Square matrix

    A matrix whose number of rows equals the number of columns.

  • Statistic

    A number that measures a quantitative variable for a sample from a population.

  • Terminal side of an angle

    See Angle.

  • Tree diagram

    A visualization of the Multiplication Principle of Probability.

  • Unbounded interval

    An interval that extends to -? or ? (or both).

  • Unit vector

    Vector of length 1.

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