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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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##### 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.