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Solutions for Chapter 5: Calculus of a Single Variable 8th Edition

Calculus of a Single Variable | 8th Edition | ISBN: 9780618503032 | Authors: Ron Larson

Full solutions for Calculus of a Single Variable | 8th Edition

ISBN: 9780618503032

Calculus of a Single Variable | 8th Edition | ISBN: 9780618503032 | Authors: Ron Larson

Solutions for Chapter 5

This expansive textbook survival guide covers the following chapters and their solutions. Since 13 problems in chapter 5 have been answered, more than 1720 students have viewed full step-by-step solutions from this chapter. Calculus of a Single Variable was written by and is associated to the ISBN: 9780618503032. Chapter 5 includes 13 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus of a Single Variable, edition: 8.

Key Calculus Terms and definitions covered in this textbook
  • Absolute minimum

    A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

  • Absolute value of a vector

    See Magnitude of a vector.

  • Annual percentage rate (APR)

    The annual interest rate

  • Correlation coefficient

    A measure of the strength of the linear relationship between two variables, pp. 146, 162.

  • Division algorithm for polynomials

    Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

  • Equal matrices

    Matrices that have the same order and equal corresponding elements.

  • Extraneous solution

    Any solution of the resulting equation that is not a solution of the original equation.

  • Focal width of a parabola

    The length of the chord through the focus and perpendicular to the axis.

  • Identity matrix

    A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

  • Increasing on an interval

    A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

  • Initial side of an angle

    See Angle.

  • 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

  • Modified boxplot

    A boxplot with the outliers removed.

  • Permutations of n objects taken r at a time

    There are nPr = n!1n - r2! such permutations

  • Quotient of complex numbers

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

  • Random variable

    A function that assigns real-number values to the outcomes in a sample space.

  • Spiral of Archimedes

    The graph of the polar curve.

  • Sum of complex numbers

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

  • Triangular form

    A special form for a system of linear equations that facilitates finding the solution.

  • Vertices of a hyperbola

    The points where a hyperbola intersects the line containing its foci.

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