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# Solutions for Chapter 0.4: INVERSE FUNCTIONS; INVERSE TRIGONOMETRIC FUNCTIONS

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 0.4: INVERSE FUNCTIONS; INVERSE TRIGONOMETRIC FUNCTIONS

Solutions for Chapter 0.4
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##### ISBN: 9780470647691

Chapter 0.4: INVERSE FUNCTIONS; INVERSE TRIGONOMETRIC FUNCTIONS includes 62 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Since 62 problems in chapter 0.4: INVERSE FUNCTIONS; INVERSE TRIGONOMETRIC FUNCTIONS have been answered, more than 39795 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691.

Key Calculus Terms and definitions covered in this textbook
• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Equivalent vectors

Vectors with the same magnitude and direction.

• Infinite limit

A special case of a limit that does not exist.

• Law of sines

sin A a = sin B b = sin C c

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Mode of a data set

The category or number that occurs most frequently in the set.

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Partial sums

See Sequence of partial sums.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

An angle in standard position whose terminal side lies on an axis.

A procedure for fitting a quadratic function to a set of data.

• Response variable

A variable that is affected by an explanatory variable.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Triangular number

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

• Unit vector

Vector of length 1.

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

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