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Solutions for Chapter 1.5: Inverse Functions and Logarithms

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

ISBN: 9781305270336

Solutions for Chapter 1.5: Inverse Functions and Logarithms

Solutions for Chapter 1.5
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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. Chapter 1.5: Inverse Functions and Logarithms includes 77 full step-by-step solutions. Since 77 problems in chapter 1.5: Inverse Functions and Logarithms have been answered, more than 98788 students have viewed full step-by-step solutions from this chapter. 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.

Key Calculus Terms and definitions covered in this textbook
  • Arithmetic sequence

    A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

  • Coefficient of determination

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

  • Cubic

    A degree 3 polynomial function

  • Data

    Facts collected for statistical purposes (singular form is datum)

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Exponent

    See nth power of a.

  • Geometric sequence

    A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

  • Graph of an inequality in x and y

    The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

  • Infinite limit

    A special case of a limit that does not exist.

  • Linear system

    A system of linear equations

  • Octants

    The eight regions of space determined by the coordinate planes.

  • Orthogonal vectors

    Two vectors u and v with u x v = 0.

  • Polynomial in x

    An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

  • Quotient identities

    tan ?= sin ?cos ?and cot ?= cos ? sin ?

  • Range (in statistics)

    The difference between the greatest and least values in a data set.

  • Square matrix

    A matrix whose number of rows equals the number of columns.

  • Standard form of a polynomial function

    ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

  • Sum of a finite geometric series

    Sn = a111 - r n 2 1 - r

  • Unit circle

    A circle with radius 1 centered at the origin.

  • Xscl

    The scale of the tick marks on the x-axis in a viewing window.