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Solutions for Chapter 3.11: Linear Approximations and Differentials

Calculus, | 5th Edition | ISBN: 9780534393397 | Authors: James Stewart

Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Calculus, | 5th Edition | ISBN: 9780534393397 | Authors: James Stewart

Solutions for Chapter 3.11: Linear Approximations and Differentials

Solutions for Chapter 3.11
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Textbook: Calculus,
Edition: 5
Author: James Stewart
ISBN: 9780534393397

Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 3.11: Linear Approximations and Differentials includes 50 full step-by-step solutions. Since 50 problems in chapter 3.11: Linear Approximations and Differentials have been answered, more than 45095 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Angle between vectors

    The angle formed by two nonzero vectors sharing a common initial point

  • Arccosecant function

    See Inverse cosecant function.

  • Difference of complex numbers

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

  • Elimination method

    A method of solving a system of linear equations

  • Function

    A relation that associates each value in the domain with exactly one value in the range.

  • Intercept

    Point where a curve crosses the x-, y-, or z-axis in a graph.

  • Inverse variation

    See Power function.

  • Leading coefficient

    See Polynomial function in x

  • Midpoint (on a number line)

    For the line segment with endpoints a and b, a + b2

  • Ordered pair

    A pair of real numbers (x, y), p. 12.

  • Partial sums

    See Sequence of partial sums.

  • Position vector of the point (a, b)

    The vector <a,b>.

  • Probability simulation

    A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

  • Product of matrices A and B

    The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

  • Randomization

    The principle of experimental design that makes it possible to use the laws of probability when making inferences.

  • Reference triangle

    For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

  • Scalar

    A real number.

  • Standard form: equation of a circle

    (x - h)2 + (y - k2) = r 2

  • Triangular number

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

  • Viewing window

    The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

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