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Solutions for Chapter 12: University Calculus: Early Transcendentals 3rd Edition

University Calculus: Early Transcendentals | 3rd Edition | ISBN: 9780321999580 | Authors: Joel R. Hass

Full solutions for University Calculus: Early Transcendentals | 3rd Edition

ISBN: 9780321999580

University Calculus: Early Transcendentals | 3rd Edition | ISBN: 9780321999580 | Authors: Joel R. Hass

Solutions for Chapter 12

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals, edition: 3. Since 13 problems in chapter 12 have been answered, more than 6876 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321999580. Chapter 12 includes 13 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Arrow

    The notation PQ denoting the directed line segment with initial point P and terminal point Q.

  • Closed interval

    An interval that includes its endpoints

  • Completing the square

    A method of adding a constant to an expression in order to form a perfect square

  • Constraints

    See Linear programming problem.

  • Course

    See Bearing.

  • Derivative of ƒ

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

  • equation of a parabola

    (x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

  • Graph of a polar equation

    The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Infinite limit

    A special case of a limit that does not exist.

  • Irrational zeros

    Zeros of a function that are irrational numbers.

  • Linear inequality in x

    An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

  • Logistic regression

    A procedure for fitting a logistic curve to a set of data

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Natural logarithmic function

    The inverse of the exponential function y = ex, denoted by y = ln x.

  • NINT (ƒ(x), x, a, b)

    A calculator approximation to ?ab ƒ(x)dx

  • Order of an m x n matrix

    The order of an m x n matrix is m x n.

  • Reflection across the x-axis

    x, y and (x,-y) are reflections of each other across the x-axis.

  • Tangent line of ƒ at x = a

    The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

  • Vertical line

    x = a.

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