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Solutions for Chapter 4: Applications of Differentiation

Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 4: Applications of Differentiation

Solutions for Chapter 4
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions. Since 86 problems in chapter 4: Applications of Differentiation have been answered, more than 37460 students have viewed full step-by-step solutions from this chapter. Chapter 4: Applications of Differentiation includes 86 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
  • Angular speed

    Speed of rotation, typically measured in radians or revolutions per unit time

  • Arccosine function

    See Inverse cosine function.

  • Characteristic polynomial of a square matrix A

    det(xIn - A), where A is an n x n matrix

  • Convergence of a sequence

    A sequence {an} converges to a if limn: q an = a

  • Coordinate plane

    See Cartesian coordinate system.

  • Direct variation

    See Power function.

  • Division

    a b = aa 1 b b, b Z 0

  • Frequency table (in statistics)

    A table showing frequencies.

  • Gaussian elimination

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

  • Graphical model

    A visible representation of a numerical or algebraic model.

  • Head minus tail (HMT) rule

    An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

  • Horizontal shrink or stretch

    See Shrink, stretch.

  • Integrable over [a, b] Lba

    ƒ1x2 dx exists.

  • Limaçon

    A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

  • Modified boxplot

    A boxplot with the outliers removed.

  • Probability function

    A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

  • Radicand

    See Radical.

  • Semiminor axis

    The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

  • Solve an equation or inequality

    To find all solutions of the equation or inequality

  • Solve by elimination or substitution

    Methods for solving systems of linear equations.

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