Solutions for Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS

Multivariable Calculus, | 7th Edition | ISBN: 9780538497879 | Authors: James Stewart

Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Multivariable Calculus, | 7th Edition | ISBN: 9780538497879 | Authors: James Stewart

Solutions for Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS

Solutions for Chapter 14.4
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Textbook: Multivariable Calculus,
Edition: 7
Author: James Stewart
ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS includes 46 full step-by-step solutions. Since 46 problems in chapter 14.4: TANGENT PLANES AND LINEAR APPROXIMATIONS have been answered, more than 11328 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Multivariable Calculus, was written by Patricia and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
  • Augmented matrix

    A matrix that represents a system of equations.

  • Closed interval

    An interval that includes its endpoints

  • Directed line segment

    See Arrow.

  • Half-plane

    The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Local maximum

    A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

  • Lower bound for real zeros

    A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

  • Lower bound test for real zeros

    A test for finding a lower bound for the real zeros of a polynomial

  • Periodic function

    A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Random behavior

    Behavior that is determined only by the laws of probability.

  • Riemann sum

    A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

  • Right triangle

    A triangle with a 90° angle.

  • Speed

    The magnitude of the velocity vector, given by distance/time.

  • Standard representation of a vector

    A representative arrow with its initial point at the origin

  • Terminal side of an angle

    See Angle.

  • Union of two sets A and B

    The set of all elements that belong to A or B or both.

  • Vertex of a cone

    See Right circular cone.

  • Xmin

    The x-value of the left side of the viewing window,.

  • 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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