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Solutions for Chapter 12: 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 12

This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9781285740621. Chapter 12 includes 8 full step-by-step solutions. Since 8 problems in chapter 12 have been answered, more than 9525 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Key Calculus Terms and definitions covered in this textbook
  • Bar chart

    A rectangular graphical display of categorical data.

  • Complex number

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

  • Continuous at x = a

    lim x:a x a ƒ(x) = ƒ(a)

  • Definite integral

    The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

  • Divisor of a polynomial

    See Division algorithm for polynomials.

  • Even function

    A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

  • First quartile

    See Quartile.

  • First-degree equation in x , y, and z

    An equation that can be written in the form.

  • Graph of parametric equations

    The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

  • kth term of a sequence

    The kth expression in the sequence

  • Magnitude of a vector

    The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

  • Parameter interval

    See Parametric equations.

  • Permutation

    An arrangement of elements of a set, in which order is important.

  • Polar coordinates

    The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

  • Radian measure

    The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

  • Random variable

    A function that assigns real-number values to the outcomes in a sample space.

  • Rational zeros theorem

    A procedure for finding the possible rational zeros of a polynomial.

  • Summation notation

    The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

  • Upper bound test for real zeros

    A test for finding an upper bound for the real zeros of a polynomial.

  • Zero matrix

    A matrix consisting entirely of zeros.

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