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Solutions for Chapter 6.5: University Calculus: Early Transcendentals 2nd Edition

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

Solutions for Chapter 6.5

Solutions for Chapter 6.5
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Textbook: University Calculus: Early Transcendentals
Edition: 2
Author: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.
ISBN: 9780321717399

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.5 includes 32 full step-by-step solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 32 problems in chapter 6.5 have been answered, more than 55096 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

Key Calculus Terms and definitions covered in this textbook
  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Focus, foci

    See Ellipse, Hyperbola, Parabola.

  • Graph of an equation in x and y

    The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

  • Implicitly defined function

    A function that is a subset of a relation defined by an equation in x and y.

  • Inverse sine function

    The function y = sin-1 x

  • Left-hand limit of f at x a

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

  • 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

  • Modulus

    See Absolute value of a complex number.

  • Negative association

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

  • nth root

    See Principal nth root

  • Parametric equations for a line in space

    The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

  • Power rule of logarithms

    logb Rc = c logb R, R 7 0.

  • Product of functions

    (ƒg)(x) = ƒ(x)g(x)

  • 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.

  • 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.

  • Root of an equation

    A solution.

  • Sequence of partial sums

    The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

  • Triangular number

    A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

  • Vertical line test

    A test for determining whether a graph is a function.

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