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Solutions for Chapter 7: Calculus 8th Edition

Calculus | 8th Edition | ISBN: 9781285740621 | Authors: James Stewart

Full solutions for Calculus | 8th Edition

ISBN: 9781285740621

Calculus | 8th Edition | ISBN: 9781285740621 | Authors: James Stewart

Solutions for Chapter 7

Chapter 7 includes 16 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9781285740621. Since 16 problems in chapter 7 have been answered, more than 9441 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Arithmetic sequence

    A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

  • Binomial theorem

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

  • Coefficient matrix

    A matrix whose elements are the coefficients in a system of linear equations

  • Combinatorics

    A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

  • Components of a vector

    See Component form of a vector.

  • Equal matrices

    Matrices that have the same order and equal corresponding elements.

  • Finite sequence

    A function whose domain is the first n positive integers for some fixed integer n.

  • Graphical model

    A visible representation of a numerical or algebraic model.

  • Horizontal shrink or stretch

    See Shrink, stretch.

  • Law of sines

    sin A a = sin B b = sin C c

  • Line of travel

    The path along which an object travels

  • n factorial

    For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

  • Newton’s law of cooling

    T1t2 = Tm + 1T0 - Tm2e-kt

  • nth root of unity

    A complex number v such that vn = 1

  • Parametric equations

    Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

  • Positive angle

    Angle generated by a counterclockwise rotation.

  • Probability function

    A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

  • 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.

  • Upper bound for ƒ

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

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