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Solutions for Chapter 10.3: Polar Coordinates

Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 10.3: Polar Coordinates

Solutions for Chapter 10.3
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Since 78 problems in chapter 10.3: Polar Coordinates have been answered, more than 39806 students have viewed full step-by-step solutions from this chapter. Chapter 10.3: Polar Coordinates includes 78 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Acute angle

    An angle whose measure is between 0° and 90°

  • Axis of symmetry

    See Line of symmetry.

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • 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)

  • Direction angle of a vector

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

  • Eccentricity

    A nonnegative number that specifies how off-center the focus of a conic is

  • Exponential decay function

    Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

  • Graph of parametric equations

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

  • Limit to growth

    See Logistic growth function.

  • Multiplicative inverse of a real number

    The reciprocal of b, or 1/b, b Z 0

  • n factorial

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

  • Octants

    The eight regions of space determined by the coordinate planes.

  • Present value of an annuity T

    he net amount of your money put into an annuity.

  • Pythagorean

    Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

  • Quadratic regression

    A procedure for fitting a quadratic function to a set of data.

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Unit circle

    A circle with radius 1 centered at the origin.

  • Weights

    See Weighted mean.

  • y-axis

    Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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