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

Parametric Representations of Lines in R2 and R3

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_combinations/v/linear-combinations-and-span?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/intro-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

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.

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Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channe....l/UCGYSKl6e3HM0PP7QR
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🥰 Get ready for a mega-dose of early education for kids with Lucas & Friends! ✏️ This time around it's a huge educational compilation video featuring songs about the days of the week, fruits, opposite words, colors, and vehicles. Just hit play and watch your kids start singing, dancing, and learning! 🎓

🤩 Lucas, Ruby, Lilly, and Brody are ready to explore different learning topics, all of which are designed as educational videos for toddlers and older children. Each one is a learning video for kids featuring full 4k animation and songs that teach everything from the days of the week to colors and the names of vehicles. 🚀

🎯 Your little ones will learn a wide range of things in this educational video, including action words such as running and walking, colors like red, green, blue, pink, and purple, shapes like circles, squares, and other geometric wonders, names of delicious fruits, opposite words to find out about antonyms, and red color flashcards featuring apples, roses, and other examples of red things. 🔥

◉ Tap on the time track to quickly enjoy your favorite toddler learning video.

00:00 Peek A Boo - Peekaboo
01:07 ABC Song Nursery Rhyme

• Action Words for Kids
02:16 Cry
08:37 Laugh
12:51 Clap
17:15 Run
34:41 Jump
44:57 Walk
47:37 Point out
49:12 Wave

• Colors for Toddlers to Learn
11:49 Yellow
20:36 Pink
32:39 Green
36:01 Orange
38:20 Purple
43:53 Blue
50:19 Brown
1:01:19 Red

• Learn Shapes for Toddlers
09:26 Circle
14:23 Square
23:09 Oval
28:35 Triangle
39:33 Diamond
45:36 Rectangle

55:32 Learn Vehicles for Kids
56:12 Opposites Words
58:18 Days of Week Song

✔️ Our ultra HD 4K video is jam-packed with awesome graphics and catchy music that'll keep kids entertained while they learn. It's the perfect video for babies, toddlers, preschoolers, and kindergartners who are starting their educational journey. Gather your little ones and prepare for a wonderful family time together! 🔆

🥰 We hope our learning videos will make it easier and more fun for your child to learn new things! Hit the LIKE button and SHARE it with friends and other family members! ⭐ RV AppStudios is thrilled to add our newest educational videos for toddlers to our collection, and one we're sure your kids will love singing along-to! 🔔 Don't forget to SUBSCRIBE for more free animated sing-along songs, nursery rhymes for kids and learning content by Lucas and friends! 🦁

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🌟 Fun educational videos for toddlers by RV AppStudios:
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✏️ ABC Alphabet Educational Videos https://youtu.be/YzjCssRah3E
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Copyright © RV AppStudios

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🖌️ What better way to teach colors than through a fun animated sing-along song? 🎨 Help your kids (toddlers, preschoolers, kindergarteners) learn the basic colors using catchy lyrics and toe-tapping music, all presented with wonderful animations and hosted by your kid's favorite cartoon characters 🦁 Lucas and Ruby 🐰.

🌈 It's a brand new toddler sing-along video to help kids learn red, blue, green, and other basic colors. ✏️ This song makes it easy to start building colour recognition skills for children of all ages. 🍭 Beautiful animations and catchy music teach color names to children in a fun and friendly environment. ✔️ Best of all, the entire lesson is fun, and it's presented in ultra HD 4k! ✨

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🕊️ White
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🥕 Orange
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🦈 Grey

⭐ RV AppStudios is thrilled to add our newest song for kids to our collection, and one we're sure your kids will love singing along-to! 👍 As always, be sure to LIKE and SHARE this kids song to show more families that it can be easy and fun to learn 🔔 And don't forget to SUBSCRIBE for more free animated sing-along songs and nursery rhymes for kids by RV Kids! 🔥

📢 Coloring pages for kids and much more - https://www.rvappstudios.com

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🌟 Fun educational videos for toddlers by RV AppStudios:
🍭 Learn Colors With Lucas & Ruby - https://youtu.be/qMkXnwRlpRo
✏️ Numbers 1 to 20 for Kids - https://youtu.be/2KwCtfvvMsY
🎨 Color Song for Kids - https://youtu.be/PoMPLwKgeKw
🐘 Animal Sounds for Kids - https://youtu.be/_wpG04sx84E

Copyright © RV AppStudios

#Color #NurseryRhymes #LearnColors

An introduction to Siddhartha Gautama Buddha and Buddhism.

Watch the next lesson: https://www.khanacademy.org/hu....manities/world-histo

World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today.

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

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Peppa Pig and the Easter Rainbow - Easter Stories for Children - Kids Books Read Aloud

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Peppa is excited about gathering colored eggs for Easter. Will she be able to find them all?

Peppa and her family are on an Easter egg hunt, and Peppa wants to find lots of eggs — one in every color. Red, orange, and yellow are easy to spot, but the grass is too high for Peppa and George to see the rest of the eggs. And — drip, drip, drip —oh dear, is that rain? When the sun comes out quickly, something beautiful stretches across the sky, and if Peppa is lucky, her colored eggs might just make an Easter rainbow of their own.

🍰 Enjoy singing the Happy Birthday To You song with this fun animated video with Lucas and Ruby! Babies, toddlers, preschoolers, kindergarteners and kids of all ages will recognize the tune, and everyone will love singing and dancing along with the lyrics. 🎈 This is an incredibly cute rendition of the Happy Birthday song that's perfectly suited for young people. 🎉

🎁 Play this classic rendition of the Happy Birthday to You song by RV AppStudios as you sing and dance with your children! 🙌 Best of all, it's presented in ultra HD 4k and stars kid's favorite game characters Lucas, Ruby, Lilly, and Brody! 🎂

❓ Did you know the Happy Birthday to You song was created in 1893? It's over 125 years old and is one of the best-known songs in the world! 🌎

🎤 Lyrics For Happy Birthday:

Happy birthday to you
Happy birthday to you
Happy birthday, happy birthday,
Happy birthday to you

⭐ If your kids love Lucas and friends wish them on their special day, please hit the LIKE button and SHARE it with others. 👍 SUBSCRIBE to our channel RV Kids to watch more of our fun learning content for children. 🔔 Don't forget to turn on the notifications button: tap the bell icon and get updated as soon as our new videos arrive. 🔥

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🌟 More fun nursery rhymes and kids songs by RV AppStudios:
🌞 Ring Around The Rosie - https://youtu.be/z4PxLc8zHgQ
🐶 Bingo Song With Lyrics - https://youtu.be/wosclrdVHLE
😊 Humpty Dumpty Song - https://youtu.be/mE1W-IE3_Dc
⛵ Row Row Row Your Boat Song - https://youtu.be/jhoElPdz_Tc

Copyright © RV AppStudios

#Birthday #SongsForKids #BirthdaySong

NotebookLM MCQ Video Tutorial 2026 | Exam MCQ Auto Generate Kaise Kare? | Teachers Must Watch

NotebookLM ka use karke Educational MCQ Videos banana ab bahut easy ho gaya hai! Is video me aap step-by-step seekhenge ki PDF se MCQ kaise generate kare, unhe slide deck me convert kaise kare, aur fir MCQ video create kaise kare — wo bhi bilkul professional style me.

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Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for 'Fair Use'
for purposes such as criticism, comment, news reporting, teaching, scholarship, and research,
Fair use is a permitted by copyright statute that might otherwise be infringing,
Non-profit, educational or personal use tips the balance in favor of fair use.

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

Generalizing the technique of approximating area under a curve with rectangles. Created by Sal Khan.

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/e/riemann-sums-and-sigma-notation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB

Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/v/practice-approximating-area-under-curve?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB

Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-summation-notation/v/summation-notation-worked-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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 AcademyÕs AP Calculus AB channel: https://www.youtube.com/channe....l/UCyoj0ZF4uw8VTFbml
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Unlock the mysteries and inner workings of the world through one of the most imaginative art forms ever -- mathematics -- with Roger Antonsen, as he explains how a slight change in perspective can reveal patterns, numbers and formulas as the gateways to empathy and understanding.

TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers give the talk of their lives in 18 minutes (or less). Look for talks on Technology, Entertainment and Design -- plus science, business, global issues, the arts and much more.
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Think traits like eye color or tongue-rolling are simple genetics? Think again. From Mendel’s peas to modern DNA science, let’s talk about why most human traits aren’t just “dominant” or “recessive.” Eye color, red hair, earlobes, even cilantro—genetics is way messier (and cooler) than you learned in school.

-----------

High fives to all our Brain Trust Patrons:

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The Chemical Corps is a special branch of the United States Army, which is responsible for preventing and combating any attack on the USA which includes Chemical, Biological, Radiological or Nuclear weapons, including any weapons of mass destruction.

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 (B.A. (Hons) in History, University College London)
Script: Dejan Milivojevic

With help from C. Warner Sgt US Army (74delta CBRN retired)

Narrator:

Chris Kane
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Sources
Brophy, Leo P. Origins of the Chemical Corps, Military Affairs, Vol. 20, No. 4 (Winter, 1956), pp. 217-226
U.S. Army Chemical Corps, CBR, The United States Army, Chemical Corps

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12 FREE Secular Homeschool Curriculum Websites K-12.

Here is my new compilation of 10 websites that offer free curricula in mathematics, language arts, sciences, social sciences, art, music and more. Some concentrate in preschoolers or early childhood education, others run the gamut from preK through high school. I’ve come across dozens of these sites, however, my number one criteria for inclusion in this list is a secular perspective, and second, each site must be worth our while.

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Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/e/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/pascals-triangle-binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Missed the previous lesson?
https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII

Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!

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 Algebra II channel:
https://www.youtube.com/channe....l/UCsCA3_VozRtgUT7wW
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

Graphing a parabola with a table of values

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/graphing_parabolas_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/quadratic-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Missed the previous lesson?
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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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.

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The new 12,023 Human Era Calendar is here!
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Here in the Kurzgesagt labs we test very important ideas to see what happens when you blow things up or play with black holes. Many of you suggested that we look into an idea that sounds reasonable: Shooting nuclear waste into space. It is one of those concepts that seems like an easy fix for one of the main problems with nuclear energy. But it turns out this idea is not just bad but horribly bad and it gets worse the longer you think about it.

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Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.

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.

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🍎 Sing a fun fruit song (with pictures!) with your kids and learn the names of different fruits in English! ✨ Animated friends Lucas, Ruby, Lily, and Brody present a fantastic and active way to educate children about apples 🍎, bananas 🍌, grapes 🍇, strawberries 🍓, oranges 🍊, and other fruits 🍉🥝🍍🍒🥑, all in an entertaining environment. 🤩 Kids will love singing along with the lyrics, and parents will love that everyone's learning the names of the fruits!

Watch this fantastic fruit sing-along in ultra HD 4K for a better experience. 🎓 You and your children will learn the names of many of the most popular fruits in the world, including apples, bananas, kiwi, watermelon, strawberries, oranges, pineapple, and cherries. 🎉 It's fun, it's catchy, and it's educational! It's great for preschoolers, kindergarteners, and children of all ages, and parents will enjoy it! 🥳

🎤 Fruit Song Lyrics:

I eat my fruits Everyday
Yummy yummy yummy fruits
Fruits are so healthy
Eat your fruits everyday

Apples, Bananas, Grapes, kiwi, watermelon
Strawberry, Orange, Pineapple, Cherry, Avocado

Yummy Yummy Yummy Fruits

Apples are my favorite
Juicy juicy red apples
Bananas are my favorite
Yummy yummy yellow bananas,

Hey Lucas,
What fruit is this?
"It's a red apple"

Apples, Bananas, Grapes, Kiwi, Watermelon
Strawberry, Orange, Pineapple, Cherry, Avocado

mmm Yummmyyy

Grapes are my favorite
Juicy juicy purple grapes
Watermelons are my favorite
Yummy yummy green watermelons

Hey Ruby
Can you guess what fruit this is?
"It is my favorite watermelon"

Apples, Bananas, Grapes, Kiwi, Watermelon
Strawberry, Orange, Pineapple, Cherry, Avocado

Yummy Yummy Yummy Fruits

Orange is my favorite
Juicy juicy round orange
Strawberries are my favorite
Yummy yummy red strawberries

Hey Brody
What fruit is this?
"It is a red strawberry"

Apples, Bananas, Grapes, Kiwi, Watermelon
Strawberry, Orange, Pineapple, Cherry, Avocado

mmm Yummmyyy

Cherries are my favorite
Juicy juicy red cherries
Pineapple is my favorite
Yummy yummy yellow pineapple

Hey Lilly
Can you guess what fruit this is?
"It is my favorite cherry"

Apples, Bananas, Grapes, Kiwi, Watermelon
Strawberry, Orange, Pineapple, Cherry, Avocado

Kiwis are my favorite
Yummy yummy brown kiwis
Avocados are my favorite
Yummy yummy green avocados

Apples, Bananas, Grapes, Kiwi, Watermelon
Strawberry, Orange, Pineapple, Cherry, Avocado

⭐ If our video entertains your child and makes them happy, please hit the LIKE button. SHARE it with your friends and family members so that more and more kids can sing and have fun. 👍 SUBSCRIBE to our channel to watch our other nursery rhymes, kids songs, and educational videos for children and parents. 🔔 And make sure you turn on the bell icon to get notified as soon as our new videos come up. 🔥

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🌟 More fun nursery rhymes and kids songs by RV AppStudios:
🥳 Put Your Hands In the Air Song - https://youtu.be/lKemaWQif4g
🦁 Lucas Song RV AppStudios - https://youtu.be/jpSMPm-DFUs
🎂 Birthday Song for Children - https://youtu.be/naWirAMrE5c
🥰 Humpty Dumpty Kids Song - https://youtu.be/mE1W-IE3_Dc

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#Fruits #KidsSong #NurseryRhymes