Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter 4.1, Problem 1CFU

To determine

sentences about the relationship between zeros and roots.

Expert Solution & Answer

Explanation of Solution

Given information: zeros and roots

Knowing the roots of a polynomial is a direct link to finding its equation.

If you know, for example, that a, b, c are “roots” of a polynomial, then the

Fundamental Theorem of Algebra states that:

(x−a)(x−b)(x−c)=0

Must be its equation

Chapter 3, Problem 10SAP

Chapter 4.1, Problem 2CFU

Chapter 4 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 4.1 - Prob. 1CFU Ch. 4.1 - Prob. 2CFU Ch. 4.1 - Prob. 3CFU Ch. 4.1 - Prob. 4CFU Ch. 4.1 - Prob. 5CFU Ch. 4.1 - Prob. 6CFU Ch. 4.1 - Prob. 7CFU Ch. 4.1 - Prob. 8CFU Ch. 4.1 - Prob. 9CFU Ch. 4.1 - Prob. 10CFU

Ch. 4.1 - Prob. 11CFU Ch. 4.1 - Prob. 12CFU Ch. 4.1 - Prob. 13CFU Ch. 4.1 - Prob. 14CFU Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.1 - Prob. 57E Ch. 4.1 - Prob. 58E Ch. 4.1 - Prob. 59E Ch. 4.1 - Prob. 60E Ch. 4.1 - Prob. 61E Ch. 4.1 - Prob. 62E Ch. 4.1 - Prob. 63E Ch. 4.1 - Prob. 64E Ch. 4.1 - Prob. 65E Ch. 4.1 - Prob. 66E Ch. 4.2 - Prob. 1CFU Ch. 4.2 - Prob. 2CFU Ch. 4.2 - Prob. 3CFU Ch. 4.2 - Prob. 4CFU Ch. 4.2 - Prob. 5CFU Ch. 4.2 - Prob. 6CFU Ch. 4.2 - Prob. 7CFU Ch. 4.2 - Prob. 8CFU Ch. 4.2 - Prob. 9CFU Ch. 4.2 - Prob. 10CFU Ch. 4.2 - Prob. 11CFU Ch. 4.2 - Prob. 12E Ch. 4.2 - Prob. 13E Ch. 4.2 - Prob. 14E Ch. 4.2 - Prob. 15E Ch. 4.2 - Prob. 16E Ch. 4.2 - Prob. 17E Ch. 4.2 - Prob. 18E Ch. 4.2 - Prob. 19E Ch. 4.2 - Prob. 20E Ch. 4.2 - Prob. 21E Ch. 4.2 - Prob. 22E Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - Prob. 25E Ch. 4.2 - Prob. 26E Ch. 4.2 - Prob. 27E Ch. 4.2 - Prob. 28E Ch. 4.2 - Prob. 29E Ch. 4.2 - Prob. 30E Ch. 4.2 - Prob. 31E Ch. 4.2 - Prob. 32E Ch. 4.2 - Prob. 33E Ch. 4.2 - Prob. 34E Ch. 4.2 - Prob. 35E Ch. 4.2 - Prob. 36E Ch. 4.2 - Prob. 37E Ch. 4.2 - Prob. 38E Ch. 4.2 - Prob. 39E Ch. 4.2 - Prob. 40E Ch. 4.2 - Prob. 41E Ch. 4.2 - Prob. 42E Ch. 4.2 - Prob. 43E Ch. 4.2 - Prob. 44E Ch. 4.2 - Prob. 45E Ch. 4.3 - Prob. 1CFU Ch. 4.3 - Prob. 2CFU Ch. 4.3 - Prob. 3CFU Ch. 4.3 - Prob. 4CFU Ch. 4.3 - Prob. 5CFU Ch. 4.3 - Prob. 6CFU Ch. 4.3 - Prob. 7CFU Ch. 4.3 - Prob. 8CFU Ch. 4.3 - Prob. 9CFU Ch. 4.3 - Prob. 10CFU Ch. 4.3 - Prob. 11CFU Ch. 4.3 - Prob. 12CFU Ch. 4.3 - Prob. 13CFU Ch. 4.3 - Prob. 14E Ch. 4.3 - Prob. 15E Ch. 4.3 - Prob. 16E Ch. 4.3 - Prob. 17E Ch. 4.3 - Prob. 18E Ch. 4.3 - Prob. 19E Ch. 4.3 - Prob. 20E Ch. 4.3 - Prob. 21E Ch. 4.3 - Prob. 22E Ch. 4.3 - Prob. 23E Ch. 4.3 - Prob. 24E Ch. 4.3 - Prob. 25E Ch. 4.3 - Prob. 26E Ch. 4.3 - Prob. 27E Ch. 4.3 - Prob. 28E Ch. 4.3 - Prob. 29E Ch. 4.3 - Prob. 30E Ch. 4.3 - Prob. 31E Ch. 4.3 - Prob. 32E Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4.3 - Prob. 35E Ch. 4.3 - Prob. 36E Ch. 4.3 - Prob. 37E Ch. 4.3 - Prob. 38E Ch. 4.3 - Prob. 39E Ch. 4.3 - Prob. 40E Ch. 4.3 - Prob. 41E Ch. 4.3 - Prob. 42E Ch. 4.3 - Prob. 43E Ch. 4.3 - Prob. 44E Ch. 4.3 - Prob. 45E Ch. 4.3 - Prob. 46E Ch. 4.3 - Prob. 47E Ch. 4.3 - Prob. 48E Ch. 4.3 - Prob. 49E Ch. 4.3 - Prob. 50E Ch. 4.3 - Prob. 51E Ch. 4.3 - Prob. 52E Ch. 4.3 - Prob. 53E Ch. 4.3 - Prob. 1GCE Ch. 4.3 - Prob. 2GCE Ch. 4.3 - Prob. 3GCE Ch. 4.3 - Prob. 4GCE Ch. 4.3 - Prob. 5GCE Ch. 4.4 - Prob. 1CFU Ch. 4.4 - Prob. 2CFU Ch. 4.4 - Prob. 3CFU Ch. 4.4 - Prob. 4CFU Ch. 4.4 - Prob. 5CFU Ch. 4.4 - Prob. 6CFU Ch. 4.4 - Prob. 7CFU Ch. 4.4 - Prob. 8CFU Ch. 4.4 - Prob. 9CFU Ch. 4.4 - Prob. 10E Ch. 4.4 - Prob. 11E Ch. 4.4 - Prob. 12E Ch. 4.4 - Prob. 13E Ch. 4.4 - Prob. 14E Ch. 4.4 - Prob. 15E Ch. 4.4 - Prob. 16E Ch. 4.4 - Prob. 17E Ch. 4.4 - Prob. 18E Ch. 4.4 - Prob. 19E Ch. 4.4 - Prob. 20E Ch. 4.4 - Prob. 21E Ch. 4.4 - Prob. 22E Ch. 4.4 - Prob. 23E Ch. 4.4 - Prob. 24E Ch. 4.4 - Prob. 25E Ch. 4.4 - Prob. 26E Ch. 4.4 - Prob. 27E Ch. 4.4 - Prob. 28E Ch. 4.4 - Prob. 29E Ch. 4.4 - Prob. 30E Ch. 4.4 - Prob. 31E Ch. 4.4 - Prob. 32E Ch. 4.4 - Prob. 33E Ch. 4.4 - Prob. 1MCQ Ch. 4.4 - Prob. 2MCQ Ch. 4.4 - Prob. 3MCQ Ch. 4.4 - Prob. 4MCQ Ch. 4.4 - Prob. 5MCQ Ch. 4.4 - Prob. 6MCQ Ch. 4.4 - Prob. 7MCQ Ch. 4.4 - Prob. 8MCQ Ch. 4.4 - Prob. 9MCQ Ch. 4.4 - Prob. 10MCQ Ch. 4.5 - Prob. 1CFU Ch. 4.5 - Prob. 2CFU Ch. 4.5 - Prob. 3CFU Ch. 4.5 - Prob. 4CFU Ch. 4.5 - Prob. 5CFU Ch. 4.5 - Prob. 6CFU Ch. 4.5 - Prob. 7CFU Ch. 4.5 - Prob. 8CFU Ch. 4.5 - Prob. 9CFU Ch. 4.5 - Prob. 10CFU Ch. 4.5 - Prob. 11CFU Ch. 4.5 - Prob. 12E Ch. 4.5 - Prob. 13E Ch. 4.5 - Prob. 14E Ch. 4.5 - Prob. 15E Ch. 4.5 - Prob. 16E Ch. 4.5 - Prob. 17E Ch. 4.5 - Prob. 18E Ch. 4.5 - Prob. 19E Ch. 4.5 - Prob. 20E Ch. 4.5 - Prob. 21E Ch. 4.5 - Prob. 22E Ch. 4.5 - Prob. 23E Ch. 4.5 - Prob. 24E Ch. 4.5 - Prob. 25E Ch. 4.5 - Prob. 26E Ch. 4.5 - Prob. 27E Ch. 4.5 - Prob. 28E Ch. 4.5 - Prob. 29E Ch. 4.5 - Prob. 30E Ch. 4.5 - Prob. 31E Ch. 4.5 - Prob. 32E Ch. 4.5 - Prob. 33E Ch. 4.5 - Prob. 34E Ch. 4.5 - Prob. 35E Ch. 4.5 - Prob. 36E Ch. 4.5 - Prob. 37E Ch. 4.5 - Prob. 38E Ch. 4.5 - Prob. 39E Ch. 4.5 - Prob. 40E Ch. 4.5 - Prob. 41E Ch. 4.5 - Prob. 42E Ch. 4.5 - Prob. 43E Ch. 4.5 - Prob. 44E Ch. 4.5 - Prob. 45E Ch. 4.6 - Prob. 1CFU Ch. 4.6 - Prob. 2CFU Ch. 4.6 - Prob. 3CFU Ch. 4.6 - Prob. 4CFU Ch. 4.6 - Prob. 5CFU Ch. 4.6 - Prob. 6CFU Ch. 4.6 - Prob. 7CFU Ch. 4.6 - Prob. 8CFU Ch. 4.6 - Prob. 9CFU Ch. 4.6 - Prob. 10CFU Ch. 4.6 - Prob. 11CFU Ch. 4.6 - Prob. 12E Ch. 4.6 - Prob. 13E Ch. 4.6 - Prob. 14E Ch. 4.6 - Prob. 15E Ch. 4.6 - Prob. 16E Ch. 4.6 - Prob. 17E Ch. 4.6 - Prob. 18E Ch. 4.6 - Prob. 19E Ch. 4.6 - Prob. 20E Ch. 4.6 - Prob. 21E Ch. 4.6 - Prob. 22E Ch. 4.6 - Prob. 23E Ch. 4.6 - Prob. 24E Ch. 4.6 - Prob. 25E Ch. 4.6 - Prob. 26E Ch. 4.6 - Prob. 27E Ch. 4.6 - Prob. 28E Ch. 4.6 - Prob. 29E Ch. 4.6 - Prob. 30E Ch. 4.6 - Prob. 31E Ch. 4.6 - Prob. 32E Ch. 4.6 - Prob. 33E Ch. 4.6 - Prob. 34E Ch. 4.6 - Prob. 35E Ch. 4.6 - Prob. 36E Ch. 4.6 - Prob. 37E Ch. 4.6 - Prob. 38E Ch. 4.6 - Prob. 39E Ch. 4.6 - Prob. 40E Ch. 4.6 - Prob. 41E Ch. 4.6 - Prob. 42E Ch. 4.6 - Prob. 43E Ch. 4.6 - Prob. 44E Ch. 4.6 - Prob. 45E Ch. 4.6 - Prob. 46E Ch. 4.6 - Prob. 47E Ch. 4.6 - Prob. 48E Ch. 4.6 - Prob. 49E Ch. 4.6 - Prob. 50E Ch. 4.6 - Prob. 51E Ch. 4.6 - Prob. 52E Ch. 4.6 - Prob. 53E Ch. 4.6 - Prob. 54E Ch. 4.6 - Prob. 55E Ch. 4.6 - Prob. 56E Ch. 4.6 - Prob. 57E Ch. 4.7 - Prob. 1CFU Ch. 4.7 - Prob. 2CFU Ch. 4.7 - Prob. 3CFU Ch. 4.7 - Prob. 4CFU Ch. 4.7 - Prob. 5CFU Ch. 4.7 - Prob. 6CFU Ch. 4.7 - Prob. 7CFU Ch. 4.7 - Prob. 8CFU Ch. 4.7 - Prob. 9CFU Ch. 4.7 - Prob. 10E Ch. 4.7 - Prob. 11E Ch. 4.7 - Prob. 12E Ch. 4.7 - Prob. 13E Ch. 4.7 - Prob. 14E Ch. 4.7 - Prob. 15E Ch. 4.7 - Prob. 16E Ch. 4.7 - Prob. 17E Ch. 4.7 - Prob. 18E Ch. 4.7 - Prob. 19E Ch. 4.7 - Prob. 21E Ch. 4.7 - Prob. 22E Ch. 4.7 - Prob. 23E Ch. 4.7 - Prob. 24E Ch. 4.7 - Prob. 25E Ch. 4.7 - Prob. 26E Ch. 4.7 - Prob. 27E Ch. 4.7 - Prob. 28E Ch. 4.7 - Prob. 29E Ch. 4.7 - Prob. 30E Ch. 4.7 - Prob. 31E Ch. 4.7 - Prob. 32E Ch. 4.7 - Prob. 33E Ch. 4.7 - Prob. 34E Ch. 4.7 - Prob. 35E Ch. 4.7 - Prob. 36E Ch. 4.7 - Prob. 37E Ch. 4.7 - Prob. 38E Ch. 4.7 - Prob. 39E Ch. 4.7 - Prob. 40E Ch. 4.7 - Prob. 41E Ch. 4.7 - Prob. 42E Ch. 4.7 - Prob. 43E Ch. 4.7 - Prob. 44E Ch. 4.7 - Prob. 45E Ch. 4.7 - Prob. 46E Ch. 4.7 - Prob. 47E Ch. 4.7 - Prob. 48E Ch. 4.7 - Prob. 49E Ch. 4.7 - Prob. 50E Ch. 4.7 - Prob. 51E Ch. 4.8 - Prob. 1CFU Ch. 4.8 - Prob. 2CFU Ch. 4.8 - Prob. 3CFU Ch. 4.8 - Prob. 4CFU Ch. 4.8 - Prob. 5CFU Ch. 4.8 - Prob. 6CFU Ch. 4.8 - Prob. 7CFU Ch. 4.8 - Prob. 8E Ch. 4.8 - Prob. 9E Ch. 4.8 - Prob. 10E Ch. 4.8 - Prob. 11E Ch. 4.8 - Prob. 12E Ch. 4.8 - Prob. 13E Ch. 4.8 - Prob. 14E Ch. 4.8 - Prob. 15E Ch. 4.8 - Prob. 16E Ch. 4.8 - Prob. 17E Ch. 4.8 - Prob. 18E Ch. 4.8 - Prob. 19E Ch. 4.8 - Prob. 20E Ch. 4.8 - Prob. 21E Ch. 4.8 - Prob. 22E Ch. 4.8 - Prob. 23E Ch. 4.8 - Prob. 24E Ch. 4.8 - Prob. 25E Ch. 4.8 - Prob. 26E Ch. 4.8 - Prob. 27E Ch. 4.8 - Prob. 28E Ch. 4.8 - Prob. 29E Ch. 4.8B - Prob. 1GCE Ch. 4.8B - Prob. 2GCE Ch. 4.8B - Prob. 3GCE Ch. 4.8B - Prob. 4GCE Ch. 4.8B - Prob. 5GCE Ch. 4 - Prob. 1SGA Ch. 4 - Prob. 2SGA Ch. 4 - Prob. 3SGA Ch. 4 - Prob. 4SGA Ch. 4 - Prob. 5SGA Ch. 4 - Prob. 6SGA Ch. 4 - Prob. 7SGA Ch. 4 - Prob. 8SGA Ch. 4 - Prob. 9SGA Ch. 4 - Prob. 10SGA Ch. 4 - Prob. 11SGA Ch. 4 - Prob. 12SGA Ch. 4 - Prob. 13SGA Ch. 4 - Prob. 14SGA Ch. 4 - Prob. 15SGA Ch. 4 - Prob. 16SGA Ch. 4 - Prob. 17SGA Ch. 4 - Prob. 18SGA Ch. 4 - Prob. 19SGA Ch. 4 - Prob. 20SGA Ch. 4 - Prob. 21SGA Ch. 4 - Prob. 22SGA Ch. 4 - Prob. 23SGA Ch. 4 - Prob. 24SGA Ch. 4 - Prob. 25SGA Ch. 4 - Prob. 26SGA Ch. 4 - Prob. 27SGA Ch. 4 - Prob. 28SGA Ch. 4 - Prob. 29SGA Ch. 4 - Prob. 30SGA Ch. 4 - Prob. 31SGA Ch. 4 - Prob. 32SGA Ch. 4 - Prob. 33SGA Ch. 4 - Prob. 34SGA Ch. 4 - Prob. 35SGA Ch. 4 - Prob. 36SGA Ch. 4 - Prob. 37SGA Ch. 4 - Prob. 38SGA Ch. 4 - Prob. 39SGA Ch. 4 - Prob. 40SGA Ch. 4 - Prob. 41SGA Ch. 4 - Prob. 42SGA Ch. 4 - Prob. 43SGA Ch. 4 - Prob. 44SGA Ch. 4 - Prob. 45SGA Ch. 4 - Prob. 46SGA Ch. 4 - Prob. 47SGA Ch. 4 - Prob. 48SGA Ch. 4 - Prob. 49SGA Ch. 4 - Prob. 50SGA Ch. 4 - Prob. 51SGA Ch. 4 - Prob. 52SGA Ch. 4 - Prob. 53SGA Ch. 4 - Prob. 54SGA Ch. 4 - Prob. 55SGA Ch. 4 - Prob. 56SGA Ch. 4 - Prob. 57SGA Ch. 4 - Prob. 58SGA Ch. 4 - Prob. 59SGA Ch. 4 - Prob. 1SAP Ch. 4 - Prob. 2SAP Ch. 4 - Prob. 3SAP Ch. 4 - Prob. 4SAP Ch. 4 - Prob. 5SAP Ch. 4 - Prob. 6SAP Ch. 4 - Prob. 7SAP Ch. 4 - Prob. 8SAP Ch. 4 - Prob. 9SAP Ch. 4 - Prob. 10SAP

Additional Math Textbook Solutions

Find more solutions based on key concepts

In Exercises 5-20, find the range, variance, and standard deviation for the given sample data. Include appropri...

Elementary Statistics (13th Edition)

Replace the Cartesian equations in Exercises 53–66 with equivalent polar equations. x2 + y2 = 4

University Calculus: Early Transcendentals (4th Edition)

Houses A real estate agent claims that all things being equal, houses with swimming pools tend to sell for less...

Introductory Statistics

For a population containing N=902 individual, what code number would you assign for a. the first person on the ...

Basic Business Statistics, Student Value Edition

ASSESSMENT Each of the following sequences is either arithmetic or geometric. Identify the sequences 230,193+82...

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Two fair dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice ...

A First Course in Probability (10th Edition)

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning

Calculus: Early Transcendentals

Calculus

ISBN:9781285741550

Author:James Stewart

Publisher:Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:9780134438986

Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:9780134763644

Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:9781319050740

Author:Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:W. H. Freeman

Precalculus

Calculus

ISBN:9780135189405

Author:Michael Sullivan

Publisher:PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:9781337552516

Author:Ron Larson, Bruce H. Edwards

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY

Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY