Solutions for Chapter 6: The Change of Variables Formula and Applications of Integration

Vector Calculus | 6th Edition | ISBN: 9781429215084 | Authors: Jerrold E. Marsden

Full solutions for Vector Calculus | 6th Edition

ISBN: 9781429215084

Vector Calculus | 6th Edition | ISBN: 9781429215084 | Authors: Jerrold E. Marsden

Solutions for Chapter 6: The Change of Variables Formula and Applications of Integration

Solutions for Chapter 6
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Textbook: Vector Calculus
Edition: 6
Author: Jerrold E. Marsden
ISBN: 9781429215084

Since 33 problems in chapter 6: The Change of Variables Formula and Applications of Integration have been answered, more than 971 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6: The Change of Variables Formula and Applications of Integration includes 33 full step-by-step solutions. Vector Calculus was written by and is associated to the ISBN: 9781429215084. This textbook survival guide was created for the textbook: Vector Calculus, edition: 6.

Key Calculus Terms and definitions covered in this textbook
  • Algebraic expression

    A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

  • 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.

  • Constant term

    See Polynomial function

  • End behavior asymptote of a rational function

    A polynomial that the function approaches as.

  • Gaussian elimination

    A method of solving a system of n linear equations in n unknowns.

  • Imaginary axis

    See Complex plane.

  • Implicitly defined function

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

  • Infinite discontinuity at x = a

    limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

  • Multiplication principle of probability

    If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

  • Reference angle

    See Reference triangle

  • Root of a number

    See Principal nth root.

  • Scatter plot

    A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

  • Slant line

    A line that is neither horizontal nor vertical

  • Triangular number

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

  • Vertex form for a quadratic function

    ƒ(x) = a(x - h)2 + k

  • Vertex of a parabola

    The point of intersection of a parabola and its line of symmetry.

  • Vertex of an angle

    See Angle.

  • Vertical component

    See Component form of a vector.

  • Zero factorial

    See n factorial.

  • Zoom out

    A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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