Orthogonal coordinate systems | Three-dimensional coordinate systems | Inversive geometry

In mathematics, 6-sphere coordinates are a coordinate system for three-dimensional space obtained by inverting the 3D Cartesian coordinates across the unit 2-sphere . They are so named because the loci where one coordinate is constant form spheres tangent to the origin from one of six sides (depending on which coordinate is held constant and whether its value is positive or negative). They have nothing whatsoever to do with the 6-sphere, which is an object of considerable interest in its own right. The three coordinates are Since inversion is its own inverse, the equations for x, y, and z in terms of u, v, and w are similar: This coordinate system is -separable for the 3-variable Laplace equation. (Wikipedia).

Ex: Find the Center and Radius of a Sphere Given an Equation in Standard Form

This video explains how to identify the center and radius of a sphere given an equation in standard form. Site: http://mathispower4u.com

From playlist Vectors in Space (3D)

Calculus 2: Polar Coordinates (1 of 38) What are Polar Coordinates?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are polar coordinates and Cartesian coordinates. The Cartesian coordinates use x and y to locate a point on a plane, and the polar coordinates use r and theta to locate a point on a plane

From playlist THE "WHAT IS" PLAYLIST

Learn how to determine the volume of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

How do you find the surface area of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

Find the volume of a sphere given the circumference

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

Given the circumference how do you find the surface area of a hemisphere

From playlist Volume and Surface Area

Introduction to Spherical Coordinates

This video defines spherical coordinates and explains how to convert between spherical and rectangular coordinates. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

Finding the volume and the surface area of a sphere

From playlist Volume and Surface Area

Geometry: Ch 4 - Geometric Figures (12 of 18) Sector of a Circle

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a sector of a circle and how to find the area of that sector. Next video in this series can be seen at: https://youtu.be/I6eyjmJS0O8

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

Introduction to Spherical Coordinates

Introduction to Spherical Coordinates This is a full introduction to the spherical coordinate system. The definition is given and then the formulas for converting rectangular to spherical and spherical to rectangular. We also look at some of the key graphs in spherical coordinates. Final

From playlist Calculus 3

Equation of a Sphere Given the Endpoints of the Diameter

In this video I will show you how to find the equation of a sphere given the endpoints of the diameter. We are given a sphere which has endpoints (5, 4, 3) and (1, 6, -9) and we find the equation of the sphere. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an

From playlist Spheres

Use a Triple Integral to Find the Volume of a Spherical Cap

This video explains how to use a triple integral to determine the volume of a spherical cap. http://mathispower4u.com

From playlist Triple Integrals

Intro to 3D Coordinates, Planes, and Spheres - CALCULUS 3

In this first video for #Calculus3, we talk about 3D Coordinates, planes, surfaces, and spheres. We also do several short practice problems to understand how this all works. Join this channel to get access to perks: https://www.youtube.com/channel/UCGYSfZbPp3BiAFs531PBY7g/join Instagram:

From playlist Calculus 3

Calculus 3: Ch 13.1 Triple Integrals (1 of TBD) Volume=? of a Sphere Using Spherical Coordinates

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the 1/8 of the volume of a sphere=? using SPHERICAL coordinates. Next video in this series can be seen at: https://yout

From playlist CALCULUS 3 CH 13.1 TRIPLE INTEGRALS

Lecture on 'Volume' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Worldwide Single-Variable Calculus for AP®

Calculus 3: Ch 13.1 Triple Integrals (3 of TBD) Volume=? of a Sphere Using Cartesian Coordinates

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the 1/8 of the volume of a sphere=? using CARTESIAN coordinates. Previous video in this series can be seen at: https://

From playlist CALCULUS 3 CH 13.1 TRIPLE INTEGRALS

Equation of a sphere, plus center and radius (KristaKingMath)

► My Vectors course: https://www.kristakingmath.com/vectors-course Learn how to find the equation of a sphere, put it in standard form, and then find the center and radius of the sphere. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Kri

From playlist Calculus III

Multivariable Calculus | The equation of a sphere.

We derive the equation of a sphere in R^3 and look at some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Common Surfaces in Multivariable Calculus

Calculus 3: Ch 13.1 Triple Integrals (2 of TBD) Volume=? of a Sphere Using Cylindrical Coordinates

Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the 1/8 of the volume of a sphere=? CYLINDRICAL coordinates. Previous video in this series can be seen at: https://yout

From playlist CALCULUS 3 CH 13.1 TRIPLE INTEGRALS

Ex: Convert Cylindrical Coordinates to Cartesian Coordinates

This video explains how to convert cylindrical coordinates to rectangular coordinates. Site: http://mathispower4u.com

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates