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Solutions for Chapter 12.7: Cylindrical and Spherical Coordinates

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 12.7: Cylindrical and Spherical Coordinates

Solutions for Chapter 12.7
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Textbook: Calculus: Early Transcendentals
Edition: 3
Author: Jon Rogawski, Colin Adams
ISBN: 9781464114885

Chapter 12.7: Cylindrical and Spherical Coordinates includes 88 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Since 88 problems in chapter 12.7: Cylindrical and Spherical Coordinates have been answered, more than 41987 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885.

Key Calculus Terms and definitions covered in this textbook
  • Aphelion

    The farthest point from the Sun in a planet’s orbit

  • 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)

  • Compounded k times per year

    Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

  • Directed distance

    See Polar coordinates.

  • Distance (in Cartesian space)

    The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

  • End behavior asymptote of a rational function

    A polynomial that the function approaches as.

  • Extraneous solution

    Any solution of the resulting equation that is not a solution of the original equation.

  • General form (of a line)

    Ax + By + C = 0, where A and B are not both zero.

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Geometric series

    A series whose terms form a geometric sequence.

  • Horizontal line

    y = b.

  • Independent variable

    Variable representing the domain value of a function (usually x).

  • Inductive step

    See Mathematical induction.

  • Measure of center

    A measure of the typical, middle, or average value for a data set

  • Negative association

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

  • Octants

    The eight regions of space determined by the coordinate planes.

  • Product of a scalar and a vector

    The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

  • Range screen

    See Viewing window.

  • Sum of complex numbers

    (a + bi) + (c + di) = (a + c) + (b + d)i

  • Triangular number

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

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