Intuition behind the Divergence Theorem in three dimensions

Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/divergence-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus

Missed the previous lesson?
https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-7?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus

Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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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Space travel is the most exciting adventure for humanity, but in an irony of history we may stop ourselves from going into space the more we do it. With every rocket launched we are creating a deadly trap for mankind.

Sources and further reading:
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Vídeos que no te puedes perder: Lo Mejor de La Granja de Zenón
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👨🏼‍🌾 La Granja de Zenón, una serie para niños donde de forma sencilla y entretenida aprenderás la vida y las costumbres del campo, el amor hacia los animales, así como el cuidado de la tierra. Valores como la amistad, el amor, la suerte, el optimismo, las travesuras y muchas aventuras, son las que vivirás con nuestros animales de la granja y nuestro granjero favorito Zenón.

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In this video, we'll introduce you to an extraordinary AI that is revolutionizing the field in ways that no one anticipated. This breakthrough AI technology outperforms ChatGPT and is setting new standards in artificial intelligence applications. From simplifying complex tasks, offering powerful predictive analysis, to generating remarkable creative content, this AI tool is opening new horizons for businesses and individuals alike. If you've been relying on ChatGPT, prepare for a shift that you didn't see coming!We'll dive into a comprehensive overview of this AI tool, exploring its features, capabilities, and potential applications. We'll also show you how it's being used to achieve unprecedented results across various industries.

Quiz Link - https://www.aatoonskids.com/co....untries-and-their-ca

Countries and their capital | Guess the Capital city of the Country | GK Quiz for Kids | Quiz Time | @AAtoonsKids

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Related Videos Link

Indian States and Capital - https://youtu.be/2_BoIIkk2jY

Guess the Flag - https://youtu.be/fUmBCKZKQnU

Guess the Flag 2 - https://youtu.be/Aq-3v8A0L2o

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Identify the Image - https://youtu.be/mRkn3J0tpno
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This organic chemistry 1 exam 2 review contains questions on stereochemistry, specific rotation, sn2 sn1 e1 e2 reactions, alkene reactions, and alkyne reactions.

Full 7 Hour Organic Chemistry Exam 2 Video: https://www.patreon.com/MathScienceTutor

Direct Link To The Full Video - Part 1:
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Direct Link to The Full Video - Part 2:
https://bit.ly/3JQAucE

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Organic Chemistry PDF Worksheets:
https://www.video-tutor.net/orgo-chem.html

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Exam 2 - Part 1 on YouTube:
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Students apply several methods developed to identify and interpret patterns to the identification of fingerprints. They look at their classmates' fingerprints, snowflakes, and "spectral fingerprints" of elements. They learn to identify each image as unique, yet part of a group containing recognizable similarities.

View the full activity on TeachEngineering:
https://www.teachengineering.o....rg/activities/view/c

TeachEngineering has over 1,500 FREE lessons and activities. Visit http://www.TeachEngineering.org for more!

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This US States learning video for kids explores facts about Minnesota! Also known as the North Star State and the Land of 10,000 lakes, this state is home to the twin cities (Minneapolis and St. Paul) and other incredible places!

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Minnesota for Kids | US States Learning Video

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Have you ever heard of the golden ratio? It’s an irrational number known as phi, and it got its name from being aesthetically pleasing to the eye. You see, this mathematical ratio can be found in nature, art, architecture, and the human body.

In geometry, the golden ratio is used to create a golden spiral, a pattern naturally occurring in sunflower seed heads, seashells, leaves, and even pinecones. The ratio can even be found in famous artwork like the Mona Lisa and architecture like the Great Pyramid of Giza. We’re not 100% sure the use was intentional, but it is pretty nice to look at.

Today, your favorite artists and brands often use the golden ratio. Like us in this K12 Teaching Moment! Just check out that spiral. How does the golden ratio inspire you? Let us know in the comments.

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The Common Core English Language Arts & Literacy standards ask students to read content that develops their understandings and critical-thinking skills. BirdSleuth’s Books and Activities help Elementary-aged students meet ELA standards through cross-curricular learning.

In this webinar, educators will:

- Review pertinent parts of the Common Core ELA standards.
- Discuss how to meet ELA standards through cross-curricular and outdoor learning.
- Discover science-friendly trade books and related BirdSleuth extension activities.

Learn more about BirdSleuth webinar series at www.birdsleuth.org/free-webinars

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ELA Standards: http://www.corestandards.org/ELA-Literacy/
Free Book Activities: http://www.birdsleuth.org/books
Action Map: http://www.birdsleuth.org/action-map/
Becoming Wildlife Investigators: https://learningcenter.nsta.or....g/resource/?id=10.25
Field Trip, No Bus Req'd: http://www.birdsleuth.org/fiel....d-trip-no-bus-requir
Bird Cam Activities: http://www.birdsleuth.org/get-....a-birds-eye-view-on-
BirdSleuth Investigator: http://www.birdsleuth.org/student-publication/
Publications: http://www.birdsleuth.org/publications/
Garden Grants: http://www.birdsleuth.org/garden-grants

Students design and build model landfills using materials similar to those used by engineers for full-scale landfills. Their completed small-size landfills are "rained" on and subjected to other erosion processes. The goal is to create landfills that hold the most garbage, minimize the cost to build and keep trash and contaminated water inside the landfill to prevent it from causing environmental damage. Teams create designs within given budgets, test the landfills' performance, and graph and compare designs for capacity, cost and performance.

View the full activity at TeachEngineering: https://www.teachengineering.o....rg/activities/view/c

TeachEngineering has over 1,500 FREE lessons and activities. Visit https://www.teachengineering.org/ for more!

Music: How We Like It - Dan Lebowitz

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Curiosities for kids:https://www.youtube.com/playli....st?list=PLLF_mZmNqOn

Did you know there are books bigger than a cow? Or that the famous Harry Potter was born on a napkin? 🤔 In this Happy Learning video, we reveal some of the most amazing secrets about books! Discover the world's largest book, the smallest mini book, and even a book without the letter "E". Click to find out these incredible facts! 📖✨

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Discover hundreds of never-before-seen resources! Create your free account at https://my.happylearning.tv/ and start learning in the most entertaining way.

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0:00 - Introduction
0:16 - Dolphin facts
3:12 - The dolphin
7:32 - Marine animals vocabulary

🐬🌊 Did you know that dolphins sleep with one eye open? In this educational video for primary school children, you’ll discover amazing facts about dolphins, how smart they are, how they communicate, how they navigate underwater, and why they are one of the ocean’s most fascinating animals.

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➕✖️ MATH for Primary School Children: https://www.youtube.com/playli....st?list=PLLF_mZmNqOn
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Discover the fascinating world of science with videos on Dinosaurs, the Solar System, Invertebrate Animals, Arachnids and much more. Travel back in time with history videos covering Prehistory, the Discovery of America or Ancient Egypt. Learn geography with content about The Earth and Its Movements, the Water Cycle and Parts of the Earth. Strengthen math skills with videos on Multiplication, Subtraction and Matter and Its Properties, and improve Spanish language understanding with lessons on Nouns, Sentences and Subject and Predicate.

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In this video I reveal the latest rumors about Apple’s secret “Project ARMOR” humanoid robot, how it might compare to existing home robots like NEO, Figure 02, and 4NE-1, and what it means for the future of AI companions. You’ll discover the tech behind Apple’s “fake house” lab, how they’re tackling software and hardware challenges, and why some people believe emotional bonds with robots are inevitable. I also share a glimpse of the ethical concerns raised by increasingly human-like machines.

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How should you use AI tools to create software and write code? In this video we will look at the best AI tools for writing code! There will be both assistants and AI that write code instead of humans. How long will software engineers be in demand? The question is a global one. Today we will try to answer it!

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In this video, I’m diving into Abacus ChatLLM Teams — an awesome AI platform that brings all your favorite Large Language Models (LLMs) together in one spot. Whether you're using Llama, ChatGPT, or Claude Sonnet, you can switch between them seamlessly, with no need for juggling multiple subscriptions. I’ll show you how Abacus makes tasks like image analysis, coding, data processing, and even building custom AI chatbots and agents super easy. Perfect for both individuals and teams.
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Education Week's Leaders To Learn From is a distinctive gathering of over 200 superintendents, policymakers, industry professionals, and other education leaders, aimed at recognizing excellence in K-12 leadership and sharing innovative solutions to the challenges facing today's school systems. Learn more at http://edweek.org/leaders ____________________

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In this video, we take a look at the global update to ChatGPT! We'll break down the new features in detail, in particular the Custom GPT Model, which allows you to create a completely new and personalized chat with AI. Will this be able to change the world of AI? Today we'll find out. #chatgpt #ai #update