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Solutions for Chapter 5.3: Inverse Functions

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Calculus | 8th Edition | ISBN: 9780618502981 | Authors: Ron Larson Robert P. Hostetler, Bruce H. Edwards

Solutions for Chapter 5.3: Inverse Functions

Solutions for Chapter 5.3
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Textbook: Calculus
Edition: 8
Author: Ron Larson Robert P. Hostetler, Bruce H. Edwards
ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 107 problems in chapter 5.3: Inverse Functions have been answered, more than 79352 students have viewed full step-by-step solutions from this chapter. Chapter 5.3: Inverse Functions includes 107 full step-by-step solutions.

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

    A value ƒ(c) is an absolute maximum 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.

  • Binomial coefficients

    The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • Dot product

    The number found when the corresponding components of two vectors are multiplied and then summed

  • Ellipse

    The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

  • equation of an ellipse

    (x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • Equivalent vectors

    Vectors with the same magnitude and direction.

  • Event

    A subset of a sample space.

  • Half-life

    The amount of time required for half of a radioactive substance to decay.

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Limit

    limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

  • Lower bound test for real zeros

    A test for finding a lower bound for the real zeros of a polynomial

  • Perihelion

    The closest point to the Sun in a planet’s orbit.

  • Power rule of logarithms

    logb Rc = c logb R, R 7 0.

  • Recursively defined sequence

    A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

  • Second-degree equation in two variables

    Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

  • Unit ratio

    See Conversion factor.

  • Zero vector

    The vector <0,0> or <0,0,0>.

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