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Solutions for Chapter 1.6: Inverse Functions and Logarithms

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 1.6: Inverse Functions and Logarithms

Solutions for Chapter 1.6
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Textbook: Calculus,
Edition: 5
Author: James Stewart
ISBN: 9780534393397

This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 1.6: Inverse Functions and Logarithms includes 76 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 76 problems in chapter 1.6: Inverse Functions and Logarithms have been answered, more than 45378 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a complex number

    The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

  • Boundary

    The set of points on the “edge” of a region

  • Coefficient of determination

    The number r2 or R2 that measures how well a regression curve fits the data

  • Composition of functions

    (f ? g) (x) = f (g(x))

  • Coordinate(s) of a point

    The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

  • Cycloid

    The graph of the parametric equations

  • Derivative of ƒ

    The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

  • Focus, foci

    See Ellipse, Hyperbola, Parabola.

  • Gaussian curve

    See Normal curve.

  • Graph of a relation

    The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

  • Intermediate Value Theorem

    If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

  • Local extremum

    A local maximum or a local minimum

  • Nonsingular matrix

    A square matrix with nonzero determinant

  • One-to-one rule of logarithms

    x = y if and only if logb x = logb y.

  • Pole

    See Polar coordinate system.

  • Positive numbers

    Real numbers shown to the right of the origin on a number line.

  • Quadratic formula

    The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

  • Regression model

    An equation found by regression and which can be used to predict unknown values.

  • Standard form of a complex number

    a + bi, where a and b are real numbers

  • yz-plane

    The points (0, y, z) in Cartesian space.

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