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Solutions for Chapter 4.2: Extrema of Functions

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Vector Calculus | 4th Edition | ISBN: 9780321780652 | Authors: Susan J. Colley

Solutions for Chapter 4.2: Extrema of Functions

Solutions for Chapter 4.2
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Textbook: Vector Calculus
Edition: 4
Author: Susan J. Colley
ISBN: 9780321780652

This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Since 53 problems in chapter 4.2: Extrema of Functions have been answered, more than 12500 students have viewed full step-by-step solutions from this chapter. Chapter 4.2: Extrema of Functions includes 53 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

Key Calculus Terms and definitions covered in this textbook
  • Amplitude

    See Sinusoid.

  • Angle of depression

    The acute angle formed by the line of sight (downward) and the horizontal

  • Center

    The central point in a circle, ellipse, hyperbola, or sphere

  • Commutative properties

    a + b = b + a ab = ba

  • Distance (on a number line)

    The distance between real numbers a and b, or |a - b|

  • Magnitude of an arrow

    The magnitude of PQ is the distance between P and Q

  • Newton’s law of cooling

    T1t2 = Tm + 1T0 - Tm2e-kt

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • Open interval

    An interval that does not include its endpoints.

  • Outliers

    Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

  • Pole

    See Polar coordinate system.

  • Positive linear correlation

    See Linear correlation.

  • Quartic regression

    A procedure for fitting a quartic function to a set of data.

  • Rational zeros theorem

    A procedure for finding the possible rational zeros of a polynomial.

  • Real number line

    A horizontal line that represents the set of real numbers.

  • Real zeros

    Zeros of a function that are real numbers.

  • Replication

    The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

  • Right triangle

    A triangle with a 90° angle.

  • Standard form of a polynomial function

    ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

  • Tangent line of ƒ at x = a

    The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

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