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Solutions for Chapter 4.6: Graph Sketching and Asymptotes

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Calculus: Early Transcendentals | 3rd Edition | ISBN: 9781464114885 | Authors: Jon Rogawski, Colin Adams

Solutions for Chapter 4.6: Graph Sketching and Asymptotes

Solutions for Chapter 4.6
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Textbook: Calculus: Early Transcendentals
Edition: 3
Author: Jon Rogawski, Colin Adams
ISBN: 9781464114885

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This expansive textbook survival guide covers the following chapters and their solutions. Since 79 problems in chapter 4.6: Graph Sketching and Asymptotes have been answered, more than 41898 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Chapter 4.6: Graph Sketching and Asymptotes includes 79 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a real number

    Denoted by |a|, represents the number a or the positive number -a if a < 0.

  • Additive identity for the complex numbers

    0 + 0i is the complex number zero

  • Conjugate axis of a hyperbola

    The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

  • Degree of a polynomial (function)

    The largest exponent on the variable in any of the terms of the polynomial (function)

  • Difference of two vectors

    <u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

  • Double inequality

    A statement that describes a bounded interval, such as 3 ? x < 5

  • Focal axis

    The line through the focus and perpendicular to the directrix of a conic.

  • Irreducible quadratic over the reals

    A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

  • Linear factorization theorem

    A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

  • Linear regression

    A procedure for finding the straight line that is the best fit for the data

  • Nautical mile

    Length of 1 minute of arc along the Earth’s equator.

  • Parabola

    The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

  • Quotient rule of logarithms

    logb a R S b = logb R - logb S, R > 0, S > 0

  • 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.

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Semimajor axis

    The distance from the center to a vertex of an ellipse.

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Solve a triangle

    To find one or more unknown sides or angles of a triangle

  • Solve by substitution

    Method for solving systems of linear equations.

  • y-intercept

    A point that lies on both the graph and the y-axis.

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