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# Solutions for Chapter 5.1: Areas and Distances

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

ISBN: 9781305270336

Solutions for Chapter 5.1: Areas and Distances

Solutions for Chapter 5.1
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##### ISBN: 9781305270336

Since 32 problems in chapter 5.1: Areas and Distances have been answered, more than 38177 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Areas and Distances includes 32 full step-by-step solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Equation

A statement of equality between two expressions.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Linear regression equation

Equation of a linear regression line

• Logarithmic function with base b

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

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Perpendicular lines

Two lines that are at right angles to each other

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Real number line

A horizontal line that represents the set of real numbers.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Unit circle

A circle with radius 1 centered at the origin.

• Zero matrix

A matrix consisting entirely of zeros.

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