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Solutions for Chapter 3.9: Differentials

Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 3.9: Differentials

Solutions for Chapter 3.9
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Textbook: Calculus of A Single Variable
Edition: 7
Author: Ron Larson, Robert P. Hostetler, Bruce H. Edwards, David E. Heyd
ISBN: 9780618149162

This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 3.9: Differentials includes 56 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 56 problems in chapter 3.9: Differentials have been answered, more than 23679 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: 9780618149162.

Key Calculus Terms and definitions covered in this textbook
  • Angle of elevation

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

  • Annual percentage rate (APR)

    The annual interest rate

  • Arccosine function

    See Inverse cosine function.

  • Exponential growth function

    Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

  • Half-plane

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

  • Initial point

    See Arrow.

  • Invertible linear system

    A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

  • 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

  • Nautical mile

    Length of 1 minute of arc along the Earth’s equator.

  • nth power of a

    The number with n factors of a , where n is the exponent and a is the base.

  • nth root of a complex number z

    A complex number v such that vn = z

  • Order of magnitude (of n)

    log n.

  • Permutations of n objects taken r at a time

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

  • Sequence of partial sums

    The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

  • Shrink of factor c

    A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

  • Sinusoidal regression

    A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

  • Slope

    Ratio change in y/change in x

  • Triangular number

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

  • Upper bound test for real zeros

    A test for finding an upper bound for the real zeros of a polynomial.

  • Variable (in statistics)

    A characteristic of individuals that is being identified or measured.

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