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Solutions for Chapter 14.1: Functions of Several Variables

Calculus: Early Transcendentals | 7th Edition | ISBN: 9780538497909 | Authors: ames Stewart

Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Calculus: Early Transcendentals | 7th Edition | ISBN: 9780538497909 | Authors: ames Stewart

Solutions for Chapter 14.1: Functions of Several Variables

Solutions for Chapter 14.1
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Textbook: Calculus: Early Transcendentals
Edition: 7
Author: ames Stewart
ISBN: 9780538497909

Since 79 problems in chapter 14.1: Functions of Several Variables have been answered, more than 31470 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.1: Functions of Several Variables includes 79 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Arccosecant function

    See Inverse cosecant function.

  • Confounding variable

    A third variable that affects either of two variables being studied, making inferences about causation unreliable

  • Constant function (on an interval)

    ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Implied domain

    The domain of a function’s algebraic expression.

  • Inverse variation

    See Power function.

  • Measure of an angle

    The number of degrees or radians in an angle

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Natural logarithmic function

    The inverse of the exponential function y = ex, denoted by y = ln x.

  • 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).

  • Parameter

    See Parametric equations.

  • Parametric equations

    Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

  • Parametrization

    A set of parametric equations for a curve.

  • Projectile motion

    The movement of an object that is subject only to the force of gravity

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Quotient of complex numbers

    a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

  • Recursively defined sequence

    A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

  • Trigonometric form of a complex number

    r(cos ? + i sin ?)

  • Velocity

    A vector that specifies the motion of an object in terms of its speed and direction.

  • x-intercept

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

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