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# Solutions for Chapter 1: Limits and Their Properties

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 1: Limits and Their Properties

Solutions for Chapter 1
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##### ISBN: 9780618149162

Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 1: Limits and Their Properties includes 70 full step-by-step solutions. Since 70 problems in chapter 1: Limits and Their Properties have been answered, more than 26583 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Complex conjugates

Complex numbers a + bi and a - bi

• Constant of variation

See Power function.

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Exponential form

An equation written with exponents instead of logarithms.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Hypotenuse

Side opposite the right angle in a right triangle.

See Polynomial function in x

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Objective function

See Linear programming problem.

• Polar axis

See Polar coordinate system.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Quotient identities

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

• Range of a function

The set of all output values corresponding to elements in the domain.

• Statute mile

5280 feet.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Zero vector

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

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