2nd Channel: https://www.youtube.com/@simplehistory2
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Copyright: DO NOT translate and re-upload our content on Youtube or other social media.

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Credit:
Show Created by Daniel Turner (B.A. (Hons) in History, University College London)

Introduction to the power rule for derivatives. The power rule is

d/dx[x^n]=n*x^(n-1)


#PowerRule
#Derivatives
#PowerRuleExamples
#DerivativeExamples
#JoeCMath

0:00 Introduction
0:40 Example 1
1:29 Example 2
2:21 Detecting multiple rules in derivative problems
3:26 Subscribe to bring Joe more POWER

Polynomial division (long division/ algebraic division) is similar to the long division process for two numbers. A small review of the long division format occurs at the beginning followed by two examples (one where the remainder is zero and another where the remainder is non-zero).

These examples were selected to motivate the connection between factoring polynomials of degree greater than two to the polynomial division process.

0:00 Introductory review
0:53 Example 1 starts
5:59 Example 2 starts
9:22 Small takeaway

#Polynomial #LongDivision #PolynomialDivision
#JoeCMath

What are the factors that allow the Earth to sustain life?
Life has been around for a long time. How does the earth help life on earth keep going and going and going.
I would like to look at three processes and one force that work together to help sustain life.
First, life is sustained by the flow of energy from the sun through the biosphere.
The biosphere is any location on earth that has life.
Plants contain chloroplasts which have the ability to convert sunlight into sugar.
Plants combine carbon dioxide, water and sunlight into glucose.
Animals eat plants and the energy from the sun is transferred to the animal.
Other animals eat these animals and the energy from the sun is spread throughout the ecosystem
The next process is the cycling of nutrients within the biosphere.
The earth has several biochemical cycles that recycle important chemicals
These cycles move chemical substance from the biotic and abiotic compartments of Earth. There are biogeochemical cycles for carbon, oxygen, nitrogen, phosphorus, sulfur, and water;
These cycles keep recycling these important chemicals so that we don’t run out of these chemicals.
Life has the ability to duplicate itself. It can be the offspring of two adults or bacteria that uses binary fission to rapidly make copies of itself.
Finally, gravity is the force of attraction between objects.
Gravity hold life on earth and also holds our atmosphere close to the earth.
The atmosphere contains important gases like oxygen which are essential to life.
Without gravity, the earth would not have an atmosphere and life as we know it would go away.
So there you go,
How life keeps going and going and going

Join us in World of Tanks now for free and use the code ‘ONCEUPONATANK’ to access the Tiger tank 131 and other cool stuff by clicking the link here: https://tanks.ly/33Q89zl

The MIAS and MORAS mini tanks remain one of the most awkward weapon designs in the history of warfare.

Become a Simple History member: https://www.youtube.com/simplehistory/join
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Copyright: DO NOT translate and re-upload our content on Youtube or other social media.

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Credit:
Created by Daniel Turner
Script: Dejan Milivojevic
Narrator:
Bryan 'Lazlo' Beauregard



Music Credit:

Crossing the Chasm Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 3.0 License
http://creativecommons.org/licenses/by/3.0/

Sources:
Motomitragliatrice blindata d’assalto “MIAS”, Technical features, Ansaldo S.A.
Hills, Andrew. "Ansaldo MIAS/MORAS 1935." Tank Encyclopedia. January 02, 2020.
Antonino Giorgianni. "Ansaldo Mias/Moras." Storia D'Italia. April 20, 2020.

Global conveyor belt and thermohaline ocean currents. The ocean has waves and currents. I think of currents as rivers of water in water.
Because cold water is denser than warm water, the cold water sinks below warm water. Water with a higher salinity has a greater density than less salty water. As a result, currents can be created in the ocean.

The global conveyor belt is a series of ocean currents that snake around the world. They are called thermohaline currents because they are the result of changes in temperature and salinity.

The base of the world’s food chain depends on the
cool, nutrient-rich waters that support the growth of algae and seaweed.

Animation of the Oceanic Conveyor Belt
Title: Thermohaline Circulation using Improved Flow Field.ogv
Author: NASA/Goddard Space Flight Center
Date: 14 November 2011

https://en.wikipedia.org/wiki/....Thermohaline_circula

What a radian is. Converting radians to degrees and vice versa.

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/unit-circle-definition-of-trig-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radian-and-degree-conversion-practice?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Trigonometry channel:
https://www.youtube.com/channe....l/UCYQSs1lFJZKpyqNQQ
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Division Stories | Mathematics Grade 2 | Periwinkle

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This trigonometry video tutorial explains how to use the sum and difference identities / formulas to evaluate sine, cosine, and tangent functions that have angles that are not commonly found in the unit circle. Examples include angles both in degrees and radians.

Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI

Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48

Verifying Trigonometric Identities:
https://www.youtube.com/watch?v=Rf05H8ogHLg

Double Angle Identities:
https://www.youtube.com/watch?v=SE5SBTgrwH8

Verifying Trig Identities With Double Angles:
https://www.youtube.com/watch?v=Wh7hM_FsN3Y

__________________________
Half Angle Formulas:
https://www.youtube.com/watch?v=9YI69okba3c

Verifying Trig Identities Using Half Angles:
https://www.youtube.com/watch?v=qWJ4HwJ_5LY

Inverse Trig Functions With Double Angles:
https://www.youtube.com/watch?v=waDbbpib9cM

Right Triangle Trig With Half Angle Identities:
https://www.youtube.com/watch?v=vEU25NlpaXA

Product To Sum + Sum to Product Formulas:
https://www.youtube.com/watch?v=8Prc7VGt40w

______________________________
Solving Trig Equations - Finding All Solutions:
https://www.youtube.com/watch?v=kEcbxiLeGTc

Solving Trig Equations With Multiple Angles:
https://www.youtube.com/watch?v=eZPEW2hVUd0

Solving Trig Equations With Double Angles:
https://www.youtube.com/watch?v=-R7394Dn854

Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0

Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

How Many Faces, Edges And Vertices Does A Hexagonal Prism Have?
Here we’ll look at how to work out the faces, edges and vertices of a hexagonal prism.
We’ll start by counting the faces, these are the flat surfaces that make the shape. A hexagonal prism has 8 faces altogether - 2 hexagons and 6 rectangles.
Next we’ll work out how many edges the hexagonal prism has, which are where two faces meet. A hexagonal prism has 18 edges.
Next we’ll count the corners of the shape (the corners). A count will show there are 12 vertices.

For the full playlist for the faces, edges and Vertices of a whole lot of 3D shapes go to https://www.youtube.com/playli....st?list=PLjbxBzUM6SL

To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU

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This calculus video tutorial provides a basic introduction into power series. it explains how to find the radius of convergence and the interval of convergence of a power series using the ratio test. If the limit of the ratio test is zero, the power series converges for all x values. If the limit is infinity, the power series converges only when x equals c such that the power series is centered at c. If the limit equals an absolute value expression based on x, the interval of convergence will have a finite range. This video provides a plot of the interval of convergence on a number line so you can see how it relates to the radius of convergence. In addition, you must check the endpoints for the interval of convergence using the original power series expressed in sigma notation. This video contains plenty of examples and practice problems.

Series Tests - Practice Problems:
https://www.youtube.com/watch?v=0YeON4p0ogw

Taylor & Maclaurin Polynomials:
https://www.youtube.com/watch?v=urPIxvNBXF0

Taylor's Remainder Theorem:
https://www.youtube.com/watch?v=lY0LzJXTgeo

Power Series - Interval Convergence:
https://www.youtube.com/watch?v=EGni2-m5yxM

Power Series - Derivatives & Integrals:
https://www.youtube.com/watch?v=nD6hai32ykQ

___________________________________
Power Series - Function Representation:
https://www.youtube.com/watch?v=54yldObvvwY

Finding The Power Series:
https://www.youtube.com/watch?v=PmHaNjDBh_c

Power Series - Representation By Integration:
https://www.youtube.com/watch?v=0HyM3nM87mk

Power Series - Representation By Natural Logs:
https://www.youtube.com/watch?v=A6JdlY52NFg

Taylor & Maclaurin Series:
https://www.youtube.com/watch?v=LDBnS4c7YbA

Binomial Series:
https://www.youtube.com/watch?v=V1AKAkGJlN8

____________________________________
Parametric Equations:
https://www.youtube.com/watch?v=97pe-QlSGqA

Calculus Final Exam and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio

How can we tell if a sequence converges or diverges? See Sal in action, determining the convergence/divergence of several sequences. Created by Sal Khan.

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/e/convergence-and-divergence-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-finite-geo-series/v/series-as-sum-of-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/convergent-and-divergent-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channe....l/UC5A2DBjjUVNz8axD-
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Welcome to Circle Time! Sophie from Khan Academy Kids has a very special guest today. In this episode kids will meet Kristi Yamaguchi, an Olympic figure skating gold medalist, as she reads the book Cara’s Kindness. It’s a sweet story about an adorable group of animal characters who help each other through acts of kindness. Learn more about Kristi's program to support early literacy at Always Dream: https://www.alwaysdream.org/program/.

We’d love to know what ideas your kids have for helping others. Keep in touch and share their ideas through artwork, photos, or videos here: http://khan.co/KhanKids-SubmitYourArt.

Learn more about Khan Academy Kids, our free educational app for children ages 2-8, at http://www.khankids.org.

Available on Apple, Google Play, and Amazon app stores:

http://khan.co/KhanKids-YT-Apple
http://khan.co/KhanKids-YT-Google
http://khan.co/KhanKids-YT-Amazon

Remember to subscribe to Circle Time to be reminded of our new shows! You can also access all of our Circle Time videos on our Circle Time Playlist, here: http://khan.co/KhanKids-CircleTimePlaylist.

This video provides a basic introduction into the top 10 most important formulas used in excel. These include the average function, autosum, Sum If, Count, Counta, Count If function, Concantenate, If logical function, Vlookup, and Drop Down Lists.

Excel Tutorial For Beginners:
https://www.youtube.com/watch?v=nK-uNYuvcag

Top 30 Excel Tips & Shortcuts:
https://www.youtube.com/watch?v=UMad9_-4rOU

_________________________________________
Excel - Statistics - Mean, Median, Mode:
https://www.youtube.com/watch?v=aRR86imVsxM

Excel Scatter Charts:
https://www.youtube.com/watch?v=hwqq0HYrers

Excel - Finding Slope & Y-Intercept:
https://www.youtube.com/watch?v=KwQsV77bYDY

Solving Polynomial Equations - Goal Seek:
https://www.youtube.com/watch?v=lomAl6XB_SM

__________________________________________
How To Calculate Loan Payments In Excel:
https://www.youtube.com/watch?v=ifbNN2SoKlk

How To Create an Amortization Table:
https://www.youtube.com/watch?v=QZfMW203v4U

How To Look Up Customer Data In Excel:
https://www.youtube.com/watch?v=HDda6ny40ZM

How To Create a Data Entry Form In Excel:
https://www.youtube.com/watch?v=_tZLGBgQCYo

_________________________________________
YouTube Channel Growth Accelerator:
https://vimeo.com/ondemand/youtubeaccelerator

Algebra For Beginners:
https://www.video-tutor.net/al....gebra-for-beginners-

Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Math & Science Videos:
https://www.patreon.com/mathsc....iencetutor/collectio

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/precalculus/x9e81

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/e/pythagorean_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/sin-angle-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/using-the-pythagorean-trig-identity?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Trigonometry channel:
https://www.youtube.com/channe....l/UCYQSs1lFJZKpyqNQQ
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

The concept of division simplified, math video tutorial. This video is an introduction to the basics of how to divide using illustrations. This video is for 2nd grade students. More resources are below.
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How Many Faces, Edges And Vertices Does A Octagonal Prism Have?
Here we’ll look at how to work out the faces, edges of vertices of an octagonal prism.
We’ll start by counting the faces, these are the flat surfaces that make the 3D shape. An octagonal prism has 10 faces altogether - 2 octagonal faces, as well as 8 rectangular faces.
Next we’ll work out how many edges the shape has, which are where two faces meet. An octagonal prism has 24 edges.
Next we’ll count the corners of the shape(the corners). Get counting! An octagonal prism has 160 vertices.

For the full playlist for the faces, edges and Vertices of a whole lot of 3D shapes go to https://www.youtube.com/playli....st?list=PLjbxBzUM6SL

To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU

To support tecmath on Patreon: https://www.patreon.com/tecmath

To buy tecmath mechandise: https://teespring.com/stores/tecmath-store

WEBSITE: http://www.teachertube.com This SMART Board presentation shows how develop the formula for teh Surface Area of a Rectangular Prism.