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# Solutions for Chapter 2.1: Limits, Rates of Change, and Tangent Lines

## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885

Solutions for Chapter 2.1: Limits, Rates of Change, and Tangent Lines

Solutions for Chapter 2.1
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##### ISBN: 9781464114885

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Since 36 problems in chapter 2.1: Limits, Rates of Change, and Tangent Lines have been answered, more than 44602 students have viewed full step-by-step solutions from this chapter. Chapter 2.1: Limits, Rates of Change, and Tangent Lines includes 36 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885.

Key Calculus Terms and definitions covered in this textbook
• Arccosine function

See Inverse cosine function.

• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Boundary

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

• 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.

• Closed interval

An interval that includes its endpoints

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• 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

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Index of summation

See Summation notation.

• Intermediate Value Theorem

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

• Inverse function

The inverse relation of a one-to-one function.

• Perpendicular lines

Two lines that are at right angles to each other

• Range screen

See Viewing window.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Statute mile

5280 feet.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

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