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Solutions for Chapter 4: Calculus of a Single Variable 8th Edition

Calculus of a Single Variable | 8th Edition | ISBN: 9780618503032 | Authors: Ron Larson

Full solutions for Calculus of a Single Variable | 8th Edition

ISBN: 9780618503032

Calculus of a Single Variable | 8th Edition | ISBN: 9780618503032 | Authors: Ron Larson

Solutions for Chapter 4

Solutions for Chapter 4
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Textbook: Calculus of a Single Variable
Edition: 8
Author: Ron Larson
ISBN: 9780618503032

This textbook survival guide was created for the textbook: Calculus of a Single Variable, edition: 8. Chapter 4 includes 20 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus of a Single Variable was written by and is associated to the ISBN: 9780618503032. Since 20 problems in chapter 4 have been answered, more than 1788 students have viewed full step-by-step solutions from this chapter.

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

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

  • Binomial theorem

    A theorem that gives an expansion formula for (a + b)n

  • Conditional probability

    The probability of an event A given that an event B has already occurred

  • Cycloid

    The graph of the parametric equations

  • Differentiable at x = a

    ƒ'(a) exists

  • Distributive property

    a(b + c) = ab + ac and related properties

  • First quartile

    See Quartile.

  • Five-number summary

    The minimum, first quartile, median, third quartile, and maximum of a data set.

  • Integrable over [a, b] Lba

    ƒ1x2 dx exists.

  • Inverse relation (of the relation R)

    A relation that consists of all ordered pairs b, a for which a, b belongs to R.

  • Negative association

    A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

  • Odd-even identity

    For a basic trigonometric function f, an identity relating f(x) to f(-x).

  • Periodic function

    A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

  • Plane in Cartesian space

    The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

  • Polar equation

    An equation in r and ?.

  • 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.

  • Quartile

    The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Vector equation for a line in space

    The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

  • Work

    The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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